9281280000 has 240 divisors, whose sum is σ = 30932942040. Its totient is φ = 2473984000.

The previous prime is 9281279993. The next prime is 9281280007. The reversal of 9281280000 is 821829.

It is an interprime number because it is at equal distance from previous prime (9281279993) and next prime (9281280007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×9281280000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 9281280000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9281280007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3838792 + ... + 3841208.

Almost surely, 2^9281280000 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 9281280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15466471020).

9281280000 is an abundant number, since it is smaller than the sum of its proper divisors (21651662040).

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

9281280000 is an equidigital number, since it uses as much as digits as its factorization.

9281280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 9281280000 is about 96339.4000396515. The cubic root of 9281280000 is about 2101.5317622633.

The spelling of 9281280000 in words is "nine billion, two hundred eighty-one million, two hundred eighty thousand".