48736128 has 64 divisors (see below), whose sum is σ = 147957120. Its totient is φ = 13923840.

The previous prime is 48736091. The next prime is 48736139. The reversal of 48736128 is 82163784.

48736128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6378 + ... + 11753.

It is an arithmetic number, because the mean of its divisors is an integer number (2311830).

Almost surely, 2^48736128 is an apocalyptic number.

48736128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48736128 is an abundant number, since it is smaller than the sum of its proper divisors (99220992).

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

48736128 is a wasteful number, since it uses less digits than its factorization.

48736128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18155 (or 18143 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 48736128 is about 6981.1265566526. The cubic root of 48736128 is about 365.2725255618.

The spelling of 48736128 in words is "forty-eight million, seven hundred thirty-six thousand, one hundred twenty-eight".