47887728 has 80 divisors (see below), whose sum is σ = 142133760. Its totient is φ = 13609728.

The previous prime is 47887717. The next prime is 47887757. The reversal of 47887728 is 82778874.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120426 + ... + 120822.

It is an arithmetic number, because the mean of its divisors is an integer number (1776672).

Almost surely, 2^47887728 is an apocalyptic number.

47887728 is a gapful number since it is divisible by the number (48) 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 47887728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71066880).

47887728 is an abundant number, since it is smaller than the sum of its proper divisors (94246032).

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

47887728 is a wasteful number, since it uses less digits than its factorization.

47887728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 768 counting only the distinct ones).

The product of its digits is 1404928, while the sum is 51.

The square root of 47887728 is about 6920.0959530920. The cubic root of 47887728 is about 363.1405476895.

The spelling of 47887728 in words is "forty-seven million, eight hundred eighty-seven thousand, seven hundred twenty-eight".