48632832 has 88 divisors (see below), whose sum is σ = 144108800. Its totient is φ = 16201728.

The previous prime is 48632803. The next prime is 48632861. The reversal of 48632832 is 23823684.

It is an interprime number because it is at equal distance from previous prime (48632803) and next prime (48632861).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26769 + ... + 28527.

It is an arithmetic number, because the mean of its divisors is an integer number (1637600).

Almost surely, 2^48632832 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 48632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72054400).

48632832 is an abundant number, since it is smaller than the sum of its proper divisors (95475968).

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

48632832 is a wasteful number, since it uses less digits than its factorization.

48632832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1764 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 48632832 is about 6973.7243994870. The cubic root of 48632832 is about 365.0142785432.

The spelling of 48632832 in words is "forty-eight million, six hundred thirty-two thousand, eight hundred thirty-two".