56028768000 has 288 divisors, whose sum is σ = 187396372800. Its totient is φ = 14836940800.

The previous prime is 56028767987. The next prime is 56028768001. The reversal of 56028768000 is 86782065.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56028768001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14302042 + ... + 14305958.

It is an arithmetic number, because the mean of its divisors is an integer number (650681850).

Almost surely, 2^56028768000 is an apocalyptic number.

56028768000 is a gapful number since it is divisible by the number (50) 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 56028768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93698186400).

56028768000 is an abundant number, since it is smaller than the sum of its proper divisors (131367604800).

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

56028768000 is a wasteful number, since it uses less digits than its factorization.

56028768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 56028768000 in words is "fifty-six billion, twenty-eight million, seven hundred sixty-eight thousand".