9008128 has 44 divisors (see below), whose sum is σ = 18996160. Its totient is φ = 4257792.

The previous prime is 9008123. The next prime is 9008141. The reversal of 9008128 is 8218009.

It is a super-2 number, since 2×9008128² = 162292740128768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9008096 and 9008105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9008123) by changing a digit.

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, 19225 + ... + 19687.

Almost surely, 2^9008128 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 9008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9498080).

9008128 is an abundant number, since it is smaller than the sum of its proper divisors (9988032).

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

9008128 is a wasteful number, since it uses less digits than its factorization.

9008128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 9008128 is about 3001.3543609511. The cubic root of 9008128 is about 208.0709816913.

It can be divided in two parts, 90081 and 28, that added together give a palindrome (90109).

The spelling of 9008128 in words is "nine million, eight thousand, one hundred twenty-eight".