48820032 has 84 divisors (see below), whose sum is σ = 141219936. Its totient is φ = 16124160.

The previous prime is 48820027. The next prime is 48820033. The reversal of 48820032 is 23002884.

48820032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48819978 and 48820005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48820033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75133 + ... + 75779.

Almost surely, 2^48820032 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 48820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70609968).

48820032 is an abundant number, since it is smaller than the sum of its proper divisors (92399904).

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

48820032 is a wasteful number, since it uses less digits than its factorization.

48820032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48820032 is about 6987.1333177491. The cubic root of 48820032 is about 365.4820228164.

The spelling of 48820032 in words is "forty-eight million, eight hundred twenty thousand, thirty-two".