928958630625 has 135 divisors (see below), whose sum is σ = 1710146536527. Its totient is φ = 485767800000.

The previous prime is 928958630513. The next prime is 928958630689. The reversal of 928958630625 is 526036859829.

The square root of 928958630625 is 963825.

It is a perfect power (a square), and thus also a powerful number.

928958630625 is a `hidden beast` number, since 9 + 28 + 9 + 586 + 3 + 0 + 6 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 899631383121 + 29327247504 = 948489^2 + 171252^2 .

It is not a de Polignac number, because 928958630625 - 2⁷ = 928958630497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5132368035 + ... + 5132368215.

Almost surely, 2^928958630625 is an apocalyptic number.

928958630625 is the 963825-th square number.

928958630625 is the 481913-rd centered octagonal number.

It is an amenable number.

928958630625 is a deficient number, since it is larger than the sum of its proper divisors (781187905902).

928958630625 is an frugal number, since it uses more digits than its factorization.

928958630625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 928958630625 in words is "nine hundred twenty-eight billion, nine hundred fifty-eight million, six hundred thirty thousand, six hundred twenty-five".