47957728 has 96 divisors (see below), whose sum is σ = 119218176. Its totient is φ = 18482688.

The previous prime is 47957699. The next prime is 47957743. The reversal of 47957728 is 82775974.

Its product of digits (987840) is a multiple of the sum of its prime divisors (448).

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, 125025 + ... + 125407.

It is an arithmetic number, because the mean of its divisors is an integer number (1241856).

Almost surely, 2^47957728 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 47957728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59609088).

47957728 is an abundant number, since it is smaller than the sum of its proper divisors (71260448).

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

47957728 is a wasteful number, since it uses less digits than its factorization.

47957728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its digits is 987840, while the sum is 49.

The square root of 47957728 is about 6925.1518394906. The cubic root of 47957728 is about 363.3174020640.

The spelling of 47957728 in words is "forty-seven million, nine hundred fifty-seven thousand, seven hundred twenty-eight".