728904 has 48 divisors (see below), whose sum is σ = 2010960. Its totient is φ = 220000.

The previous prime is 728899. The next prime is 728911. The reversal of 728904 is 409827.

728904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 7³ + 2¹⁷ + 9⁶ + 8³ + 0 + 4⁸ .

It is an unprimeable number.

728904 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 11 ways as a sum of consecutive naturals, for example, 2779 + ... + 3029.

It is an arithmetic number, because the mean of its divisors is an integer number (41895).

2⁷²⁸⁹⁰⁴ 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 728904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480).

728904 is an abundant number, since it is smaller than the sum of its proper divisors (1282056).

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

728904 is a wasteful number, since it uses less digits than its factorization.

728904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 728904 is about 853.7587481250. The cubic root of 728904 is about 89.9960492093.

The spelling of 728904 in words is "seven hundred twenty-eight thousand, nine hundred four".