9288000 has 224 divisors, whose sum is σ = 34869120. Its totient is φ = 2419200.

The previous prime is 9287989. The next prime is 9288023. The reversal of 9288000 is 8829.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215979 + ... + 216021.

Almost surely, 2^9288000 is an apocalyptic number.

9288000 is a gapful number since it is divisible by the number (90) 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 9288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17434560).

9288000 is an abundant number, since it is smaller than the sum of its proper divisors (25581120).

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

9288000 is a wasteful number, since it uses less digits than its factorization.

9288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

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

The square root of 9288000 is about 3047.6220238081. The cubic root of 9288000 is about 210.2038836232.

The spelling of 9288000 in words is "nine million, two hundred eighty-eight thousand".