48872800 has 36 divisors (see below), whose sum is σ = 119312676. Its totient is φ = 19548800.

The previous prime is 48872783. The next prime is 48872821. The reversal of 48872800 is 827884.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48872800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29746 + ... + 31345.

It is an arithmetic number, because the mean of its divisors is an integer number (3314241).

Almost surely, 2^48872800 is an apocalyptic number.

48872800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48872800 is an abundant number, since it is smaller than the sum of its proper divisors (70439876).

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

48872800 is a wasteful number, since it uses less digits than its factorization.

48872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61111 (or 61098 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 48872800 is about 6990.9083816054. The cubic root of 48872800 is about 365.6136546508.

The spelling of 48872800 in words is "forty-eight million, eight hundred seventy-two thousand, eight hundred".