Help me find my computer

Are you sure, that those are the real values of your cartridges? I looked for them and the results for the HP 28 is a tri-color cartridge, and for the 58 I didn't look for.

I did find one printer that works with this cartridge, I'm not sure about the configuration (Black or Tri-color), which is the "HP Deskjet 5550 Color Inkjet Printer".

The best thing is making a quick call to the HP support center, and ask them what are the printers that work with this specific cartridges. (Of course after checking again that the values are right).