56728995840 has 768 divisors, whose sum is σ = 229833676800. Its totient is φ = 13138329600.

The previous prime is 56728995809. The next prime is 56728995881. The reversal of 56728995840 is 4859982765.

56728995840 is a `hidden beast` number, since 567 + 28 + 9 + 9 + 5 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69949035 + ... + 69949845.

It is an arithmetic number, because the mean of its divisors is an integer number (299262600).

Almost surely, 2^56728995840 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 56728995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114916838400).

56728995840 is an abundant number, since it is smaller than the sum of its proper divisors (173104680960).

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

56728995840 is a wasteful number, since it uses less digits than its factorization.

56728995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 56728995840 in words is "fifty-six billion, seven hundred twenty-eight million, nine hundred ninety-five thousand, eight hundred forty".