I've done quite a bit of Googling and can't find out when the last DOGE halving actually happened. I was curious to see if the price went up or down. I did find a halving on Feb 14th, 2014. The price went up in the days leading up, but then went gradually down afterwords. This most recent halving - I'm not sure because I can't find when it happened!
The most recent halving was at block 200,000 on 28th April 2014.