48638632 has 64 divisors (see below), whose sum is σ = 116208000. Its totient is φ = 18579456.

The previous prime is 48638627. The next prime is 48638647. The reversal of 48638632 is 23683684.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16744 + ... + 19432.

It is an arithmetic number, because the mean of its divisors is an integer number (1815750).

Almost surely, 2^48638632 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 48638632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58104000).

48638632 is an abundant number, since it is smaller than the sum of its proper divisors (67569368).

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

48638632 is a wasteful number, since it uses less digits than its factorization.

48638632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2734 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 48638632 is about 6974.1402337492. The cubic root of 48638632 is about 365.0287886219.

The spelling of 48638632 in words is "forty-eight million, six hundred thirty-eight thousand, six hundred thirty-two".