48138628 has 72 divisors (see below), whose sum is σ = 98508312. Its totient is φ = 20487168.

The previous prime is 48138613. The next prime is 48138641. The reversal of 48138628 is 82683184.

It can be written as a sum of positive squares in 4 ways, for example, as 28708164 + 19430464 = 5358^2 + 4408^2 .

Its product of digits (73728) is a multiple of the sum of its prime divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908250 + ... + 908302.

It is an arithmetic number, because the mean of its divisors is an integer number (1368171).

Almost surely, 2^48138628 is an apocalyptic number.

It is an amenable number.

48138628 is an abundant number, since it is smaller than the sum of its proper divisors (50369684).

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

48138628 is a wasteful number, since it uses less digits than its factorization.

48138628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 48138628 is about 6938.2006312876. The cubic root of 48138628 is about 363.7736486713.

The spelling of 48138628 in words is "forty-eight million, one hundred thirty-eight thousand, six hundred twenty-eight".