9004288 has 36 divisors (see below), whose sum is σ = 19039860. Its totient is φ = 4235264.

The previous prime is 9004277. The next prime is 9004301. The reversal of 9004288 is 8824009.

It can be written as a sum of positive squares in 2 ways, for example, as 4129024 + 4875264 = 2032^2 + 2208^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3318 + ... + 5386.

It is an arithmetic number, because the mean of its divisors is an integer number (528885).

Almost surely, 2^9004288 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 9004288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9519930).

9004288 is an abundant number, since it is smaller than the sum of its proper divisors (10035572).

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

9004288 is a wasteful number, since it uses less digits than its factorization.

9004288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 9004288 is about 3000.7145815622. The cubic root of 9004288 is about 208.0414118729.

The spelling of 9004288 in words is "nine million, four thousand, two hundred eighty-eight".