48132032 has 112 divisors (see below), whose sum is σ = 112910112. Its totient is φ = 20152320.

The previous prime is 48132013. The next prime is 48132047. The reversal of 48132032 is 23023184.

It is a junction number, because it is equal to n+sod(n) for n = 48131989 and 48132007.

It is a congruent number.

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, 579863 + ... + 579945.

It is an arithmetic number, because the mean of its divisors is an integer number (1008126).

Almost surely, 2^48132032 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 48132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56455056).

48132032 is an abundant number, since it is smaller than the sum of its proper divisors (64778080).

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

48132032 is a wasteful number, since it uses less digits than its factorization.

48132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 48132032 is about 6937.7252756217. The cubic root of 48132032 is about 363.7570330434.

Adding to 48132032 its product of nonzero digits (1152), we get a palindrome (48133184).

The spelling of 48132032 in words is "forty-eight million, one hundred thirty-two thousand, thirty-two".