256941627228 has 192 divisors, whose sum is σ = 807850659840. Its totient is φ = 69553209600.

The previous prime is 256941627227. The next prime is 256941627247. The reversal of 256941627228 is 822726149652.

256941627228 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 4 + 1 + 627 + 2 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256941627227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210426 + ... + 747102.

It is an arithmetic number, because the mean of its divisors is an integer number (4207555520).

Almost surely, 2^256941627228 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 256941627228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403925329920).

256941627228 is an abundant number, since it is smaller than the sum of its proper divisors (550909032612).

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

256941627228 is a wasteful number, since it uses less digits than its factorization.

256941627228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536745 (or 536737 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 256941627228 in words is "two hundred fifty-six billion, nine hundred forty-one million, six hundred twenty-seven thousand, two hundred twenty-eight".