The pot was 1600+ and you were asked to put in 400 more for it. I'd say it is definitely a call just based on pot odds. Your opponent may have AA or KK, but AK, AQ, QQ-TT reraise PF are also standard.

Even better when all of them show strengths, the As and Ks are pretty much all in their hands, so there aren't so much chance it is going to fall down on the table.