47957328 has 60 divisors (see below), whose sum is σ = 137856628. Its totient is φ = 15552000.

The previous prime is 47957321. The next prime is 47957333. The reversal of 47957328 is 82375974.

47957328 is a `hidden beast` number, since 4 + 79 + 573 + 2 + 8 = 666.

47957328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26501904 + 21455424 = 5148^2 + 4632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47957321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 828 + ... + 9828.

Almost surely, 2^47957328 is an apocalyptic number.

47957328 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 47957328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68928314).

47957328 is an abundant number, since it is smaller than the sum of its proper divisors (89899300).

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

47957328 is a wasteful number, since it uses less digits than its factorization.

47957328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9052 (or 9043 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 47957328 is about 6925.1229591972. The cubic root of 47957328 is about 363.3163919567.

The spelling of 47957328 in words is "forty-seven million, nine hundred fifty-seven thousand, three hundred twenty-eight".