What time will it be in central time when it is 6:28pm eastern standard time

I need to know when YU55 will be passing in central time

Central Time is one hour earlier than Eastern Time.

The asteroid you're referring to already passed Earth as close as it will. It is now moving away. You should still be able to see it if you have a decent telescope, but it was never visible to the naked eye.

It will be 5:28 p.m. Relax. It's been and gone.