9002665728 has 432 divisors, whose sum is σ = 32622240000. Its totient is φ = 2435069952.

The previous prime is 9002665697. The next prime is 9002665751. The reversal of 9002665728 is 8275662009.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

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, 6434373 + ... + 6435771.

Almost surely, 2^9002665728 is an apocalyptic number.

9002665728 is a gapful number since it is divisible by the number (98) 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 9002665728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311120000).

9002665728 is an abundant number, since it is smaller than the sum of its proper divisors (23619574272).

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

9002665728 is a wasteful number, since it uses less digits than its factorization.

9002665728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9002665728 is about 94882.3783850300. The cubic root of 9002665728 is about 2080.2891708417.

The spelling of 9002665728 in words is "nine billion, two million, six hundred sixty-five thousand, seven hundred twenty-eight".