588728 has 16 divisors (see below), whose sum is σ = 1261680. Its totient is φ = 252288.

The previous prime is 588703. The next prime is 588733. The reversal of 588728 is 827885.

588728 = 287² + 288² + ... + 293².

It is a junction number, because it is equal to n+sod(n) for n = 588691 and 588700.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 588728.

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, 5201 + ... + 5312.

It is an arithmetic number, because the mean of its divisors is an integer number (78855).

2⁵⁸⁸⁷²⁸ is an apocalyptic number.

It is an amenable number.

588728 is an abundant number, since it is smaller than the sum of its proper divisors (672952).

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

588728 is a wasteful number, since it uses less digits than its factorization.

588728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10526 (or 10522 counting only the distinct ones).

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

The square root of 588728 is about 767.2861265525. The cubic root of 588728 is about 83.8117477355.

It can be divided in two parts, 5887 and 28, that multiplied together give a square (164836 = 406²).

The spelling of 588728 in words is "five hundred eighty-eight thousand, seven hundred twenty-eight".