48637008 has 180 divisors, whose sum is σ = 162359028. Its totient is φ = 13547520.

The previous prime is 48636997. The next prime is 48637009. The reversal of 48637008 is 80073684.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 47444544 = 1092^2 + 6888^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48637009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 430360 + ... + 430472.

Almost surely, 2^48637008 is an apocalyptic number.

48637008 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 48637008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81179514).

48637008 is an abundant number, since it is smaller than the sum of its proper divisors (113722020).

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

48637008 is a wasteful number, since it uses less digits than its factorization.

48637008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 48637008 is about 6974.0238026551. The cubic root of 48637008 is about 365.0247259161.

The spelling of 48637008 in words is "forty-eight million, six hundred thirty-seven thousand, eight".