9000288 has 96 divisors (see below), whose sum is σ = 28667520. Its totient is φ = 2724480.

The previous prime is 9000283. The next prime is 9000289. The reversal of 9000288 is 8820009.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9031 + ... + 9977.

It is an arithmetic number, because the mean of its divisors is an integer number (298620).

Almost surely, 2^9000288 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 9000288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333760).

9000288 is an abundant number, since it is smaller than the sum of its proper divisors (19667232).

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

9000288 is a wasteful number, since it uses less digits than its factorization.

9000288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 9000288 is about 3000.0479996160. The cubic root of 9000288 is about 208.0106010376.

The spelling of 9000288 in words is "nine million, two hundred eighty-eight", and thus it is an aban number.