928004 has 48 divisors (see below), whose sum is σ = 2128896. Its totient is φ = 343200.

The previous prime is 928001. The next prime is 928043. The reversal of 928004 is 400829.

928004 = 56² + 57² + ... + 143².

It is a super-2 number, since 2×928004² = 1722382848032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (928001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7019 + ... + 7149.

It is an arithmetic number, because the mean of its divisors is an integer number (44352).

2⁹²⁸⁰⁰⁴ 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 928004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064448).

928004 is an abundant number, since it is smaller than the sum of its proper divisors (1200892).

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

928004 is a wasteful number, since it uses less digits than its factorization.

928004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 928004 is about 963.3296424381. The cubic root of 928004 is about 97.5401193649.

The spelling of 928004 in words is "nine hundred twenty-eight thousand, four".