9004869288 has 192 divisors, whose sum is σ = 26160825600. Its totient is φ = 2791895040.

The previous prime is 9004869259. The next prime is 9004869343. The reversal of 9004869288 is 8829684009.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9798093 + ... + 9799011.

It is an arithmetic number, because the mean of its divisors is an integer number (136254300).

Almost surely, 2^9004869288 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 9004869288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13080412800).

9004869288 is an abundant number, since it is smaller than the sum of its proper divisors (17155956312).

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

9004869288 is a wasteful number, since it uses less digits than its factorization.

9004869288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 9004869288 is about 94893.9897359153. The cubic root of 9004869288 is about 2080.4588860567.

The spelling of 9004869288 in words is "nine billion, four million, eight hundred sixty-nine thousand, two hundred eighty-eight".