  We investigate the problem of whether one can anticipate any features of the
graviton without a detailed knowledge of a full quantum gravity. Assuming that
in linearized gravity the graviton is in a sense similar to the photon, we
derive a curious large number coincidence between the number of gravitons
emitted by a solar planet during its orbital period and the number of its
nucleons. In Einstein's GR the analogy between the graviton and the photon is
ill founded. A generic relationship between quanta of a quantum field and plane
waves of the corresponding classical field is broken in the case of GR. The
graviton cannot be classically approximated by a generic pp wave nor by the
exact plane wave. Most important, the ADM energy is a zero frequency
characteristic of any asymptotically flat spacetime and this means that any
general relationship between energy and frequency is a priori impossible. In
particular the formula $E=\hbar \omega$ does not hold. The graviton must have
features different from those of the photon and these cannot be predicted from
classical general relativity.
