Two problems related to engine shut off without warning have been reported for the 2014 BMW 328. The most recently reported issues are listed below.
Vehicle shut down while driving. First time when only 3 to 4 months old on a highway with 55 mph speed limit in heavy traffic, would not engage gear, had to coast while on the highway with flashers on to reach a safe location. Was repaired at the time - supposedly computer chip problem. Has now occurred for a second time at 16 months old, on a local road with 45 mph speed limit, vehicle indicated a failure and would not run after pulling over to shoulder. Both incidents were dangerous situations in traffic. Indicator on vehicle stated engine or drive train failure of some sort.
I was driving along the streets, while it was heavily raining. While I was stuck in traffic, my car suddenly stopped working (note: there were cars behind me, in front of me, and right next to me). While I was stuck in traffic and stepping on my brakes, the moment I let go of the brakes to move forward by stepping on the gas, it wouldn't move. Then I tried stepping on the brakes and the brakes stopped working too, so I had to put my car on park because I was afraid it would start rolling by itself without my control. When I attempted to put it back in drive, it wouldn't let me. The signal still said p for park, and it wouldn't work in reverse mode nor neutral mode either. Then I tried turning off my vehicle and tried re-starting it. When I tried to re-start my vehicle, the whole vehicle just shut down, and wouldn't start up anymore. All the other cars around me were able to drive just fine, and even had to drive past me because my car stopped working in the middle of the street during the rain. The firemen and policemen ended up coming to try to re-start my engine, but it didn't work, so they ended up having to tow my car away to avoid traffic (so all the other cars can drive through without going around me). BMW said my car stopped due to water damage, specifically damaging the engine, costing roughly around $18,000. However, all the other cars around me drove in the same lane, same spot, and same time in this heavy rain just fine. I don't know why my vehicle was the only one that was severely damaged by "water" when all the other cars around me were just fine. I believe there's something wrong with the car itself, for the car should be able to handle heavy rain like all the other cars that were driving just fine around me.