256577328 has 480 divisors, whose sum is σ = 977080320. Its totient is φ = 63866880.

The previous prime is 256577323. The next prime is 256577329. The reversal of 256577328 is 823775652.

256577328 is a `hidden beast` number, since 2 + 56 + 577 + 3 + 28 = 666.

256577328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (256577323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8276673 + ... + 8276703.

It is an arithmetic number, because the mean of its divisors is an integer number (2035584).

Almost surely, 2^256577328 is an apocalyptic number.

256577328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256577328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488540160).

256577328 is an abundant number, since it is smaller than the sum of its proper divisors (720502992).

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

256577328 is a wasteful number, since it uses less digits than its factorization.

256577328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 256577328 is about 16018.0313397121. The cubic root of 256577328 is about 635.4373806901.

The spelling of 256577328 in words is "two hundred fifty-six million, five hundred seventy-seven thousand, three hundred twenty-eight".