728588 has 12 divisors (see below), whose sum is σ = 1457232. Its totient is φ = 312240.

The previous prime is 728579. The next prime is 728627. The reversal of 728588 is 885827.

728588 is an admirable number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12983 + ... + 13038.

It is an arithmetic number, because the mean of its divisors is an integer number (121436).

2⁷²⁸⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

728588 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

728588 is a wasteful number, since it uses less digits than its factorization.

728588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26032 (or 26030 counting only the distinct ones).

The product of its digits is 35840, while the sum is 38.

The square root of 728588 is about 853.5736640736. The cubic root of 728588 is about 89.9830420725.

The spelling of 728588 in words is "seven hundred twenty-eight thousand, five hundred eighty-eight".