585328 has 10 divisors (see below), whose sum is σ = 1134104. Its totient is φ = 292656.

The previous prime is 585317. The next prime is 585337. The reversal of 585328 is 823585.

585328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 585328.

It is a congruent number.

It is an unprimeable number.

585328 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 as a sum of consecutive naturals, namely, 18276 + ... + 18307.

585328 is a Friedman number, since it can be written as 58^(5-2)*3-8, using all its digits and the basic arithmetic operations.

2⁵⁸⁵³²⁸ is an apocalyptic number.

It is an amenable number.

585328 is a deficient number, since it is larger than the sum of its proper divisors (548776).

585328 is a wasteful number, since it uses less digits than its factorization.

585328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36591 (or 36585 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 585328 is about 765.0673172996. The cubic root of 585328 is about 83.6500939823.

The spelling of 585328 in words is "five hundred eighty-five thousand, three hundred twenty-eight".