9132288000 has 768 divisors, whose sum is σ = 35324190720. Its totient is φ = 2072576000.

The previous prime is 9132287999. The next prime is 9132288029. The reversal of 9132288000 is 8822319.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×9132288000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194303977 + ... + 194304023.

It is an arithmetic number, because the mean of its divisors is an integer number (45995040).

Almost surely, 2^9132288000 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 9132288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662095360).

9132288000 is an abundant number, since it is smaller than the sum of its proper divisors (26191902720).

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

9132288000 is a wasteful number, since it uses less digits than its factorization.

9132288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 9132288000 is about 95563.0053943470. The cubic root of 9132288000 is about 2090.2257793523.

The spelling of 9132288000 in words is "nine billion, one hundred thirty-two million, two hundred eighty-eight thousand".