925728 has 24 divisors (see below), whose sum is σ = 2430288. Its totient is φ = 308544.

The previous prime is 925721. The next prime is 925733. The reversal of 925728 is 827529.

It is a tau number, because it is divible by the number of its divisors (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 925728.

It is not an unprimeable number, because it can be changed into a prime (925721) by changing a digit.

925728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4726 + ... + 4917.

It is an arithmetic number, because the mean of its divisors is an integer number (101262).

2⁹²⁵⁷²⁸ is an apocalyptic number.

It is an amenable number.

925728 is an abundant number, since it is smaller than the sum of its proper divisors (1504560).

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

925728 is a wasteful number, since it uses less digits than its factorization.

925728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9656 (or 9648 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 925728 is about 962.1475978248. The cubic root of 925728 is about 97.4603125785.

It can be divided in two parts, 925 and 728, that added together give a triangular number (1653 = T₅₇).

The spelling of 925728 in words is "nine hundred twenty-five thousand, seven hundred twenty-eight".