47807268 has 48 divisors (see below), whose sum is σ = 117976320. Its totient is φ = 15025824.

The previous prime is 47807267. The next prime is 47807273. The reversal of 47807268 is 86270874.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (47807261) 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, 69655 + ... + 70337.

It is an arithmetic number, because the mean of its divisors is an integer number (2457840).

Almost surely, 2^47807268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47807268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58988160).

47807268 is an abundant number, since it is smaller than the sum of its proper divisors (70169052).

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

47807268 is a wasteful number, since it uses less digits than its factorization.

47807268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 47807268 is about 6914.2800059008. The cubic root of 47807268 is about 362.9370531898.

The spelling of 47807268 in words is "forty-seven million, eight hundred seven thousand, two hundred sixty-eight".