48938832 has 120 divisors (see below), whose sum is σ = 149077760. Its totient is φ = 14929920.

The previous prime is 48938821. The next prime is 48938833. The reversal of 48938832 is 23883984.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48938833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84528 + ... + 85104.

Almost surely, 2^48938832 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 48938832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74538880).

48938832 is an abundant number, since it is smaller than the sum of its proper divisors (100138928).

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

48938832 is a wasteful number, since it uses less digits than its factorization.

48938832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 632 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 48938832 is about 6995.6294927619. The cubic root of 48938832 is about 365.7782406520.

It can be divided in two parts, 48938 and 832, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 48938832 in words is "forty-eight million, nine hundred thirty-eight thousand, eight hundred thirty-two".