47790288 has 180 divisors, whose sum is σ = 167872068. Its totient is φ = 12579840.

The previous prime is 47790283. The next prime is 47790311. The reversal of 47790288 is 88209774.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 37601424 = 3192^2 + 6132^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47790283) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91468 + ... + 91988.

Almost surely, 2^47790288 is an apocalyptic number.

47790288 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 47790288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83936034).

47790288 is an abundant number, since it is smaller than the sum of its proper divisors (120081780).

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

47790288 is a wasteful number, since it uses less digits than its factorization.

47790288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 47790288 is about 6913.0520032761. The cubic root of 47790288 is about 362.8940792434.

The spelling of 47790288 in words is "forty-seven million, seven hundred ninety thousand, two hundred eighty-eight".