48638688 has 48 divisors (see below), whose sum is σ = 145918080. Its totient is φ = 13896576.

The previous prime is 48638687. The next prime is 48638729. The reversal of 48638688 is 88683684.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×48638688² = 4731443940722688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48638688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48638687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35518 + ... + 36861.

It is an arithmetic number, because the mean of its divisors is an integer number (3039960).

Almost surely, 2^48638688 is an apocalyptic number.

48638688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48638688 is an abundant number, since it is smaller than the sum of its proper divisors (97279392).

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

48638688 is a wasteful number, since it uses less digits than its factorization.

48638688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72399 (or 72391 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 48638688 is about 6974.1442485799. The cubic root of 48638688 is about 365.0289287136.

The spelling of 48638688 in words is "forty-eight million, six hundred thirty-eight thousand, six hundred eighty-eight".