5628257955936 has 3456 divisors, whose sum is σ = 24384142540800. Its totient is φ = 1243662336000.

The previous prime is 5628257955907. The next prime is 5628257955949. The reversal of 5628257955936 is 6395597528265.

It is a happy number.

5628257955936 is a `hidden beast` number, since 5 + 6 + 2 + 8 + 25 + 7 + 9 + 5 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 79271238781 + ... + 79271238851.

It is an arithmetic number, because the mean of its divisors is an integer number (7055596800).

Almost surely, 2^{5628257955936} is an apocalyptic number.

5628257955936 is a gapful number since it is divisible by the number (56) 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 5628257955936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192071270400).

5628257955936 is an abundant number, since it is smaller than the sum of its proper divisors (18755884584864).

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

5628257955936 is a wasteful number, since it uses less digits than its factorization.

5628257955936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 161 counting only the distinct ones).

The product of its digits is 1224720000, while the sum is 72.

The spelling of 5628257955936 in words is "five trillion, six hundred twenty-eight billion, two hundred fifty-seven million, nine hundred fifty-five thousand, nine hundred thirty-six".