928032 has 48 divisors (see below), whose sum is σ = 2786112. Its totient is φ = 264960.

The previous prime is 928001. The next prime is 928043. The reversal of 928032 is 230829.

928032 = 89² + 90² + ... + 151².

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×928032² = 1722486786048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 927993 and 928011.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 928032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 1362.

It is an arithmetic number, because the mean of its divisors is an integer number (58044).

2⁹²⁸⁰³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393056).

928032 is an abundant number, since it is smaller than the sum of its proper divisors (1858080).

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

928032 is a wasteful number, since it uses less digits than its factorization.

928032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 928032 is about 963.3441752562. The cubic root of 928032 is about 97.5411003578.

The spelling of 928032 in words is "nine hundred twenty-eight thousand, thirty-two".