48385008 has 120 divisors (see below), whose sum is σ = 161561088. Its totient is φ = 13216896.

The previous prime is 48384989. The next prime is 48385027. The reversal of 48385008 is 80058384.

48385008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48384989) and next prime (48385027).

It is a super-2 number, since 2×48385008² = 4682217998320128, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 22141 + ... + 24227.

Almost surely, 2^48385008 is an apocalyptic number.

48385008 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 48385008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80780544).

48385008 is an abundant number, since it is smaller than the sum of its proper divisors (113176080).

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

48385008 is a wasteful number, since it uses less digits than its factorization.

48385008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 48385008 is about 6955.9332946773. The cubic root of 48385008 is about 364.3932070983.

It can be divided in two parts, 483 and 85008, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 48385008 in words is "forty-eight million, three hundred eighty-five thousand, eight".