47959128 has 160 divisors (see below), whose sum is σ = 156525600. Its totient is φ = 13436928.

The previous prime is 47959123. The next prime is 47959133. The reversal of 47959128 is 82195974.

47959128 is a `hidden beast` number, since 479 + 59 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (47959123) and next prime (47959133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47959123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439938 + ... + 440046.

It is an arithmetic number, because the mean of its divisors is an integer number (978285).

Almost surely, 2^47959128 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 47959128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78262800).

47959128 is an abundant number, since it is smaller than the sum of its proper divisors (108566472).

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

47959128 is a wasteful number, since it uses less digits than its factorization.

47959128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 47959128 is about 6925.2529195691. The cubic root of 47959128 is about 363.3209373956.

The spelling of 47959128 in words is "forty-seven million, nine hundred fifty-nine thousand, one hundred twenty-eight".