928125 has 48 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 450000.

The previous prime is 928111. The next prime is 928139. The reversal of 928125 is 521829.

It is an interprime number because it is at equal distance from previous prime (928111) and next prime (928139).

It is not a de Polignac number, because 928125 - 2⁸ = 927869 is a prime.

It is a super-2 number, since 2×928125² = 1722832031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1440) is a multiple of the sum of its prime factors (45).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 928125.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84370 + ... + 84380.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2⁹²⁸¹²⁵ is an apocalyptic number.

It is an amenable number.

928125 is an abundant number, since it is smaller than the sum of its proper divisors (946755).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

928125 is an equidigital number, since it uses as much as digits as its factorization.

928125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 19 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 928125 is about 963.3924433999. The cubic root of 928125 is about 97.5443585139.

The spelling of 928125 in words is "nine hundred twenty-eight thousand, one hundred twenty-five".