580028256 has 96 divisors (see below), whose sum is σ = 1701554400. Its totient is φ = 192222720.

The previous prime is 580028231. The next prime is 580028263. The reversal of 580028256 is 652820085.

580028256 is a `hidden beast` number, since 580 + 0 + 28 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×580028256³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 580028256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154530 + ... + 158238.

It is an arithmetic number, because the mean of its divisors is an integer number (17724525).

Almost surely, 2^580028256 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 580028256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850777200).

580028256 is an abundant number, since it is smaller than the sum of its proper divisors (1121526144).

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

580028256 is a wasteful number, since it uses less digits than its factorization.

580028256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 580028256 is about 24083.7757837097. The cubic root of 580028256 is about 833.9686339842.

The spelling of 580028256 in words is "five hundred eighty million, twenty-eight thousand, two hundred fifty-six".