47628900 has 216 divisors, whose sum is σ = 173051424. Its totient is φ = 10828800.

The previous prime is 47628899. The next prime is 47628941. The reversal of 47628900 is 982674.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168159 + ... + 168441.

It is an arithmetic number, because the mean of its divisors is an integer number (801164).

Almost surely, 2^47628900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47628900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86525712).

47628900 is an abundant number, since it is smaller than the sum of its proper divisors (125422524).

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

47628900 is a wasteful number, since it uses less digits than its factorization.

47628900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 47628900 is about 6901.3694293234. The cubic root of 47628900 is about 362.4851202771.

The spelling of 47628900 in words is "forty-seven million, six hundred twenty-eight thousand, nine hundred".