47688000 has 112 divisors (see below), whose sum is σ = 157545024. Its totient is φ = 12710400.

The previous prime is 47687999. The next prime is 47688001. The reversal of 47688000 is 88674.

It is an interprime number because it is at equal distance from previous prime (47687999) and next prime (47688001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47688001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23007 + ... + 24993.

It is an arithmetic number, because the mean of its divisors is an integer number (1406652).

Almost surely, 2^47688000 is an apocalyptic number.

47688000 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 47688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78772512).

47688000 is an abundant number, since it is smaller than the sum of its proper divisors (109857024).

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

47688000 is a wasteful number, since it uses less digits than its factorization.

47688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 47688000 is about 6905.6498608024. The cubic root of 47688000 is about 362.6349873809.

The spelling of 47688000 in words is "forty-seven million, six hundred eighty-eight thousand".