What is going on here?
What is going on here is that the full total is being displayed in the flair.
I added up the numbers on your network profile page and the total is indeed 28347. Rounded down, that's 28k.
So, the number there is the correct true total. Whether or not it should be counting 101 point sites is a different story, of course.
Note that adding up only numbers > 200 yields 19813, which is what chat displays (lagged behind by a day or so).
The description on the flair tab page...
(please note that only sites where you have more than 200 reputation will appear, and that flair is only updated once every 24-36 hours.)
...is somewhat vaguely worded and open to interpretation. It could be interpreted as only sites > 200 will be included in both the total and logo list, or it could be interpreted as only sites > 200 will appear in the logo list (with no constraints on the total).