56728536402384 has 960 divisors, whose sum is σ = 218120371402752. Its totient is φ = 13818238156800.

The previous prime is 56728536402337. The next prime is 56728536402413. The reversal of 56728536402384 is 48320463582765.

56728536402384 is a `hidden beast` number, since 5 + 6 + 7 + 28 + 536 + 40 + 2 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1430099319 + ... + 1430138985.

Almost surely, 2^{56728536402384} is an apocalyptic number.

56728536402384 is a gapful number since it is divisible by the number (54) 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 56728536402384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109060185701376).

56728536402384 is an abundant number, since it is smaller than the sum of its proper divisors (161391835000368).

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

56728536402384 is a wasteful number, since it uses less digits than its factorization.

56728536402384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40006 (or 39988 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 56728536402384 in words is "fifty-six trillion, seven hundred twenty-eight billion, five hundred thirty-six million, four hundred two thousand, three hundred eighty-four".