428904 has 96 divisors (see below), whose sum is σ = 1422720. Its totient is φ = 114048.

The previous prime is 428899. The next prime is 428951. The reversal of 428904 is 409824.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

428904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11574 + ... + 11610.

It is an arithmetic number, because the mean of its divisors is an integer number (14820).

2⁴²⁸⁹⁰⁴ 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 428904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711360).

428904 is an abundant number, since it is smaller than the sum of its proper divisors (993816).

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

428904 is a wasteful number, since it uses less digits than its factorization.

428904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 428904 is about 654.9076270742. The cubic root of 428904 is about 75.4142411777.

The spelling of 428904 in words is "four hundred twenty-eight thousand, nine hundred four".