48688000 has 128 divisors (see below), whose sum is σ = 128887200. Its totient is φ = 18227200.

The previous prime is 48687979. The next prime is 48688021. The reversal of 48688000 is 88684.

48688000 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 (48687979) and next prime (48688021).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

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 15 ways as a sum of consecutive naturals, for example, 271911 + ... + 272089.

Almost surely, 2^48688000 is an apocalyptic number.

48688000 is a gapful number since it is divisible by the number (40) 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 48688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64443600).

48688000 is an abundant number, since it is smaller than the sum of its proper divisors (80199200).

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

48688000 is a wasteful number, since it uses less digits than its factorization.

48688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 48688000 is about 6977.6786971026. The cubic root of 48688000 is about 365.1522477389.

The spelling of 48688000 in words is "forty-eight million, six hundred eighty-eight thousand".