928725625 has 45 divisors (see below), whose sum is σ = 1236509659. Its totient is φ = 697268000.

The previous prime is 928725617. The next prime is 928725673. The reversal of 928725625 is 526527829.

The square root of 928725625 is 30475.

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

928725625 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 515335401 + 413390224 = 22701^2 + 20332^2 .

It is not a de Polignac number, because 928725625 - 2³ = 928725617 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17523099 + ... + 17523151.

Almost surely, 2^928725625 is an apocalyptic number.

928725625 is the 30475-th square number.

928725625 is the 15238-th centered octagonal number.

It is an amenable number.

928725625 is a deficient number, since it is larger than the sum of its proper divisors (307784034).

928725625 is an frugal number, since it uses more digits than its factorization.

928725625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 81 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The cubic root of 928725625 is about 975.6539553178.

The spelling of 928725625 in words is "nine hundred twenty-eight million, seven hundred twenty-five thousand, six hundred twenty-five".