256428824652 has 192 divisors, whose sum is σ = 892619750400. Its totient is φ = 61481410560.

The previous prime is 256428824623. The next prime is 256428824671.

256428824652 is a `hidden beast` number, since 2 + 56 + 428 + 82 + 46 + 52 = 666.

256428824652 is nontrivially palindromic in base 10.

256428824652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256428824652² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1077877 + ... + 1294092.

It is an arithmetic number, because the mean of its divisors is an integer number (4649061200).

Almost surely, 2^256428824652 is an apocalyptic number.

256428824652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256428824652 is an abundant number, since it is smaller than the sum of its proper divisors (636190925748).

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

256428824652 is a wasteful number, since it uses less digits than its factorization.

256428824652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372013 (or 2372005 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 256428824652 in words is "two hundred fifty-six billion, four hundred twenty-eight million, eight hundred twenty-four thousand, six hundred fifty-two".