256955328 has 280 divisors, whose sum is σ = 891531872. Its totient is φ = 71663616.

The previous prime is 256955291. The next prime is 256955329. The reversal of 256955328 is 823559652.

256955328 is a `hidden beast` number, since 2 + 569 + 55 + 32 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256955329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2648976 + ... + 2649072.

Almost surely, 2^256955328 is an apocalyptic number.

256955328 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 256955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445765936).

256955328 is an abundant number, since it is smaller than the sum of its proper divisors (634576544).

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

256955328 is an equidigital number, since it uses as much as digits as its factorization.

256955328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 256955328 is about 16029.8261999312. The cubic root of 256955328 is about 635.7492781767.

The spelling of 256955328 in words is "two hundred fifty-six million, nine hundred fifty-five thousand, three hundred twenty-eight".