Abstract
The question of the physical relationship between the concepts of inert and gravitational masses is considered. The lack of a consensus on the way to solve it is shown. Based on the assumption about the nature of the inert mass, as a result of the interaction of the selected body with all objects of the Universe, some general physical characteristics of the Metagalaxy are consistently evaluated within the framework of standard ideas about its properties. At the same time, in accordance with the basic provisions of modern cosmology, the idea of a uniform distribution of matter in the early universe is applied, which is generally preserved for its current state. In addition, the assumption of its spherical symmetry is used, which is acceptable from the point of view of most cosmological models. On the basis of the hypothesis of equality of the total rest energy of the body and the total gravitational energy of its interaction with the rest of the bodies of the Metagalaxy, a scale factor connecting the mass and radius of the Universe is proposed for consideration. Based on its application, some general parameters of the universe are consistently estimated. At the same time, the obtained estimates of its mass, the number of stars and galaxies in it, as well as the average density of matter in the universe are quite consistent with the results of cosmological studies performed by analyzing observational data and with the hypothesis of "large Dirac numbers". Some ways of practical application of the obtained results are suggested.