47832800 has 36 divisors (see below), whose sum is σ = 116773776. Its totient is φ = 19132800.

The previous prime is 47832779. The next prime is 47832809. The reversal of 47832800 is 823874.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47832809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29096 + ... + 30695.

It is an arithmetic number, because the mean of its divisors is an integer number (3243716).

Almost surely, 2^47832800 is an apocalyptic number.

47832800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47832800 is an abundant number, since it is smaller than the sum of its proper divisors (68940976).

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

47832800 is a wasteful number, since it uses less digits than its factorization.

47832800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59811 (or 59798 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 47832800 is about 6916.1260832926. The cubic root of 47832800 is about 363.0016518732.

The spelling of 47832800 in words is "forty-seven million, eight hundred thirty-two thousand, eight hundred".