The number of electrons on the surface would depend upon the surface area to volume ratio as well as oxidation state of metal concerned. The no.of electrons and their surface energy would reflect upon their physical, optical and surface behavior of metals concerned.
Electrons in a crystal of Au nanoparticles behave in much the same way as water in a lake. Under the influence of wind, waves form on the surface of the lake, which roll on one side of the lake, then on the other. In this example, to understand the phenomenon wind is light. The waves on the surface of the electron liquid are plasmons. The crystal of nanoparticles, as a whole, is electrically neutral. The displacement of a negatively charged electron liquid (plasma) relative to a positively charged crystal lattice leads to oscillations of electric polarization. These vibrations can be induced by light of the appropriate frequency. The interaction of light with electron plasma of nanoparticles allows the transmission of information. This interaction is used in ultra-precise microscopes. In addition, thanks to plasmons, you can change the color of objects. If you put "gold" nanoparticles of different sizes on different wools, then you can dye it in different colors.