9281428800 has 336 divisors, whose sum is σ = 36850320000. Its totient is φ = 1996554240.

The previous prime is 9281428787. The next prime is 9281428829. The reversal of 9281428800 is 88241829.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×9281428800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563076 + ... + 579324.

Almost surely, 2^9281428800 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 9281428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425160000).

9281428800 is an abundant number, since it is smaller than the sum of its proper divisors (27568891200).

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

9281428800 is a wasteful number, since it uses less digits than its factorization.

9281428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16298 (or 16283 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 9281428800 is about 96340.1723062607. The cubic root of 9281428800 is about 2101.5429929792.

The spelling of 9281428800 in words is "nine billion, two hundred eighty-one million, four hundred twenty-eight thousand, eight hundred".