9005328 has 60 divisors (see below), whose sum is σ = 26307840. Its totient is φ = 2870208.

The previous prime is 9005327. The next prime is 9005329. The reversal of 9005328 is 8235009.

It is an interprime number because it is at equal distance from previous prime (9005327) and next prime (9005329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9005327) 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, 1953 + ... + 4671.

It is an arithmetic number, because the mean of its divisors is an integer number (438464).

Almost surely, 2^9005328 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 9005328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153920).

9005328 is an abundant number, since it is smaller than the sum of its proper divisors (17302512).

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

9005328 is a wasteful number, since it uses less digits than its factorization.

9005328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9005328 is about 3000.8878686149. The cubic root of 9005328 is about 208.0494211954.

The spelling of 9005328 in words is "nine million, five thousand, three hundred twenty-eight".