578628864 has 324 divisors, whose sum is σ = 1957824960. Its totient is φ = 162938880.

The previous prime is 578628839. The next prime is 578628877. The reversal of 578628864 is 468826875.

578628864 is a `hidden beast` number, since 5 + 7 + 8 + 628 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×578628864² = 669622724507860992, which contains 22 as substring.

Its product of digits (5160960) is a multiple of the sum of its prime divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 578628864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7324377 + ... + 7324455.

Almost surely, 2^578628864 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 578628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978912480).

578628864 is an abundant number, since it is smaller than the sum of its proper divisors (1379196096).

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

578628864 is a wasteful number, since it uses less digits than its factorization.

578628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 578628864 is about 24054.7056519094. The cubic root of 578628864 is about 833.2974087269.

The spelling of 578628864 in words is "five hundred seventy-eight million, six hundred twenty-eight thousand, eight hundred sixty-four".