47288960 has 64 divisors (see below), whose sum is σ = 116163720. Its totient is φ = 18395136.

The previous prime is 47288947. The next prime is 47288963. The reversal of 47288960 is 6988274.

It can be written as a sum of positive squares in 4 ways, for example, as 34386496 + 12902464 = 5864^2 + 3592^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (47288963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22682 + ... + 24678.

Almost surely, 2^47288960 is an apocalyptic number.

47288960 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 47288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58081860).

47288960 is an abundant number, since it is smaller than the sum of its proper divisors (68874760).

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

47288960 is a wasteful number, since it uses less digits than its factorization.

47288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 47288960 is about 6876.6968814977. The cubic root of 47288960 is about 361.6206765006.

The spelling of 47288960 in words is "forty-seven million, two hundred eighty-eight thousand, nine hundred sixty".