47788128 has 36 divisors (see below), whose sum is σ = 135898308. Its totient is φ = 15929280.

The previous prime is 47788123. The next prime is 47788129. The reversal of 47788128 is 82188774.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47788121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82678 + ... + 83253.

It is an arithmetic number, because the mean of its divisors is an integer number (3774953).

Almost surely, 2^47788128 is an apocalyptic number.

47788128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47788128 is an abundant number, since it is smaller than the sum of its proper divisors (88110180).

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

47788128 is a wasteful number, since it uses less digits than its factorization.

47788128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165947 (or 165936 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 47788128 is about 6912.8957752884. The cubic root of 47788128 is about 362.8886118632. Note that the first 3 decimals are identical.

The spelling of 47788128 in words is "forty-seven million, seven hundred eighty-eight thousand, one hundred twenty-eight".