Well my tablet's name (which I haven't changed) is Galaxy Tab S2, so I'm going to put a safe bet that that's what I'm using.
That information is kinda moot now, since while typing this I did find a (rather annoying, to be honest) solution. By completely uninstalling the previous version, it allows itself to install. It apparently just throws a hissy fit if I try and update from 0.4. It does mean I don't have my saves, but at least it installs.