48800125728 has 60 divisors (see below), whose sum is σ = 143519821830. Its totient is φ = 16266707712.

The previous prime is 48800125697. The next prime is 48800125747. The reversal of 48800125728 is 82752100884.

It is a happy number.

48800125728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 45067893264 + 3732232464 = 212292^2 + 61092^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9411013 + ... + 9416196.

Almost surely, 2^48800125728 is an apocalyptic number.

48800125728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48800125728 is an abundant number, since it is smaller than the sum of its proper divisors (94719696102).

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

48800125728 is a wasteful number, since it uses less digits than its factorization.

48800125728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18827231 (or 18827214 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 48800125728 in words is "forty-eight billion, eight hundred million, one hundred twenty-five thousand, seven hundred twenty-eight".