48075888 has 80 divisors (see below), whose sum is σ = 148133376. Its totient is φ = 13136640.

The previous prime is 48075857. The next prime is 48075889. The reversal of 48075888 is 88857084.

48075888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48075888³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48075889) 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 15 ways as a sum of consecutive naturals, for example, 4618 + ... + 10838.

Almost surely, 2^48075888 is an apocalyptic number.

48075888 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 48075888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74066688).

48075888 is an abundant number, since it is smaller than the sum of its proper divisors (100057488).

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

48075888 is a wasteful number, since it uses less digits than its factorization.

48075888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The square root of 48075888 is about 6933.6778119552. The cubic root of 48075888 is about 363.6155422321.

The spelling of 48075888 in words is "forty-eight million, seventy-five thousand, eight hundred eighty-eight".