47932800 has 96 divisors (see below), whose sum is σ = 157910280. Its totient is φ = 12779520.

The previous prime is 47932793. The next prime is 47932817. The reversal of 47932800 is 823974.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7104 + ... + 12096.

Almost surely, 2^47932800 is an apocalyptic number.

47932800 is a gapful number since it is divisible by the number (40) 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 47932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78955140).

47932800 is an abundant number, since it is smaller than the sum of its proper divisors (109977480).

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

47932800 is a wasteful number, since it uses less digits than its factorization.

47932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 47932800 is about 6923.3517894153. The cubic root of 47932800 is about 363.2544414371.

The spelling of 47932800 in words is "forty-seven million, nine hundred thirty-two thousand, eight hundred".