47088000 has 256 divisors, whose sum is σ = 175032000. Its totient is φ = 12441600.

The previous prime is 47087951. The next prime is 47088001. The reversal of 47088000 is 88074.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47088001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431946 + ... + 432054.

Almost surely, 2^47088000 is an apocalyptic number.

47088000 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 47088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87516000).

47088000 is an abundant number, since it is smaller than the sum of its proper divisors (127944000).

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

47088000 is a wasteful number, since it uses less digits than its factorization.

47088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 47088000 is about 6862.0696586380. The cubic root of 47088000 is about 361.1076992884.

The spelling of 47088000 in words is "forty-seven million, eighty-eight thousand".