Maybe Mirabilis jalapa.

Sure looks like it. The flowers should have a rather distinctive aroma if it is, sort of like suntan lotion to my nose and should open and close. It's why they're called four o'clocks since they start to open in the late afternoon and close come morning.

You all may be right. Someone else had suggested that, but I thought 4 O'Clocks were more of a vine?

Not at all a vine.

You may be thinking of Mirabilis nyctaginea, a common weed.

Well thank you all for helping to solve the mystery!