47268288 has 84 divisors (see below), whose sum is σ = 136702800. Its totient is φ = 15614976.

The previous prime is 47268281. The next prime is 47268301. The reversal of 47268288 is 88286274.

It is a happy number.

It is a super-3 number, since 3×47268288³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47268281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78613 + ... + 79211.

Almost surely, 2^47268288 is an apocalyptic number.

47268288 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 47268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68351400).

47268288 is an abundant number, since it is smaller than the sum of its proper divisors (89434512).

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

47268288 is a wasteful number, since it uses less digits than its factorization.

47268288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 741 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 47268288 is about 6875.1936699994. The cubic root of 47268288 is about 361.5679756013.

The spelling of 47268288 in words is "forty-seven million, two hundred sixty-eight thousand, two hundred eighty-eight".