48000128 has 64 divisors (see below), whose sum is σ = 105973920. Its totient is φ = 21473280.

The previous prime is 48000109. The next prime is 48000131. The reversal of 48000128 is 82100084.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102551 + ... + 103017.

Almost surely, 2^48000128 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 48000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52986960).

48000128 is an abundant number, since it is smaller than the sum of its proper divisors (57973792).

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

48000128 is a wasteful number, since it uses less digits than its factorization.

48000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 48000128 is about 6928.2124678737. The cubic root of 48000128 is about 363.4244416098.

The spelling of 48000128 in words is "forty-eight million, one hundred twenty-eight", and thus it is an aban number.