9281350400 has 432 divisors, whose sum is σ = 27932878848. Its totient is φ = 2985984000.

The previous prime is 9281350381. The next prime is 9281350409. The reversal of 9281350400 is 40531829.

It is a super-2 number, since 2×9281350400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (9281350409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56940719 + ... + 56940881.

Almost surely, 2^9281350400 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 9281350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13966439424).

9281350400 is an abundant number, since it is smaller than the sum of its proper divisors (18651528448).

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

9281350400 is a wasteful number, since it uses less digits than its factorization.

9281350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 9281350400 is about 96339.7654138726. The cubic root of 9281350400 is about 2101.5370757352.

The spelling of 9281350400 in words is "nine billion, two hundred eighty-one million, three hundred fifty thousand, four hundred".