47008128 has 128 divisors (see below), whose sum is σ = 139536000. Its totient is φ = 13934592.

The previous prime is 47008123. The next prime is 47008153. The reversal of 47008128 is 82180074.

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

It is a junction number, because it is equal to n+sod(n) for n = 47008095 and 47008104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47008123) 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, 123843 + ... + 124221.

It is an arithmetic number, because the mean of its divisors is an integer number (1090125).

Almost surely, 2^47008128 is an apocalyptic number.

47008128 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 47008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69768000).

47008128 is an abundant number, since it is smaller than the sum of its proper divisors (92527872).

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

47008128 is a wasteful number, since it uses less digits than its factorization.

47008128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 47008128 is about 6856.2473700998. The cubic root of 47008128 is about 360.9034100335.

The spelling of 47008128 in words is "forty-seven million, eight thousand, one hundred twenty-eight".