256108220928 has 560 divisors, whose sum is σ = 888142280256. Its totient is φ = 72230952960.

The previous prime is 256108220909. The next prime is 256108220947. The reversal of 256108220928 is 829022801652.

256108220928 is a `hidden beast` number, since 2 + 5 + 610 + 8 + 2 + 2 + 0 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (256108220909) and next prime (256108220947).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 216856498 + ... + 216857678.

Almost surely, 2^256108220928 is an apocalyptic number.

256108220928 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 256108220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444071140128).

256108220928 is an abundant number, since it is smaller than the sum of its proper divisors (632034059328).

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

256108220928 is an frugal number, since it uses more digits than its factorization.

256108220928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 256108220928 in words is "two hundred fifty-six billion, one hundred eight million, two hundred twenty thousand, nine hundred twenty-eight".