47882880 has 256 divisors, whose sum is σ = 180662400. Its totient is φ = 11943936.

The previous prime is 47882873. The next prime is 47882893. The reversal of 47882880 is 8828874.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293679 + ... + 293841.

Almost surely, 2^47882880 is an apocalyptic number.

47882880 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 47882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90331200).

47882880 is an abundant number, since it is smaller than the sum of its proper divisors (132779520).

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

47882880 is a wasteful number, since it uses less digits than its factorization.

47882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 47882880 is about 6919.7456600658. The cubic root of 47882880 is about 363.1282928811.

The spelling of 47882880 in words is "forty-seven million, eight hundred eighty-two thousand, eight hundred eighty".