48008928 has 72 divisors (see below), whose sum is σ = 138555144. Its totient is φ = 14544640.

The previous prime is 48008903. The next prime is 48008957. The reversal of 48008928 is 82980084.

It is a happy number.

48008928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 9550 + ... + 13682.

It is an arithmetic number, because the mean of its divisors is an integer number (1924377).

Almost surely, 2^48008928 is an apocalyptic number.

48008928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48008928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69277572).

48008928 is an abundant number, since it is smaller than the sum of its proper divisors (90546216).

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

48008928 is a wasteful number, since it uses less digits than its factorization.

48008928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 48008928 is about 6928.8475232177. The cubic root of 48008928 is about 363.4466494649.

The spelling of 48008928 in words is "forty-eight million, eight thousand, nine hundred twenty-eight".