I just went and picked up the computer that I bought on ebay. It was sold by a local place that cleans out corporate lease computers.
It was advertised as having a Pentium 4, at 2.8 GHz. I checked inside the case before I left, but it wasn't until I got it home that I saw the sticker on the front of the case that said Pentium D. I don't have an OS on it yet, so I haven't checked it with CPU Z or anything. I fed the tag number to Dell's website, and it confirms that the processor is indeed:
Processor, 80551, Pentium D Smithfield For Desktops, 820 2.8, BO, Server
I looked up 80551 and found this on another website:
80551 Pentium D 200415-4-7 B0 step 'Smithfiled' OEM
FSB133x4, XD, DualCore, EIST
0.09µm, SSE2 SSE3 EMT64
16+12kB/1024kB L1/L2
So, I expected a Pentium 4 at 2.8, and I got a dual-core at 2.8 then.
This is a good deal, yes? Here's an article on the D 820:
http://techreport.com/articles.x/8369