9288172800 has 1080 divisors, whose sum is σ = 38641901760. Its totient is φ = 2189721600.

The previous prime is 9288172769. The next prime is 9288172879. The reversal of 9288172800 is 82718829.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 226540780 + ... + 226540820.

Almost surely, 2^9288172800 is an apocalyptic number.

9288172800 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 9288172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19320950880).

9288172800 is an abundant number, since it is smaller than the sum of its proper divisors (29353728960).

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

9288172800 is a wasteful number, since it uses less digits than its factorization.

9288172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 9288172800 is about 96375.1669259255. The cubic root of 9288172800 is about 2102.0518720510.

The spelling of 9288172800 in words is "nine billion, two hundred eighty-eight million, one hundred seventy-two thousand, eight hundred".