587328 has 112 divisors (see below), whose sum is σ = 1950720. Its totient is φ = 152064.

The previous prime is 587303. The next prime is 587341. The reversal of 587328 is 823785.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (13440) is a multiple of the sum of its prime factors (64).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 587328.

It is an unprimeable number.

587328 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 15 ways as a sum of consecutive naturals, for example, 25525 + ... + 25547.

2⁵⁸⁷³²⁸ 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 587328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975360).

587328 is an abundant number, since it is smaller than the sum of its proper divisors (1363392).

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

587328 is a wasteful number, since it uses less digits than its factorization.

587328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 54 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 587328 is about 766.3732771959. The cubic root of 587328 is about 83.7452599976.

The spelling of 587328 in words is "five hundred eighty-seven thousand, three hundred twenty-eight".