9408960288 has 576 divisors, whose sum is σ = 35023951872. Its totient is φ = 2329067520.

The previous prime is 9408960283. The next prime is 9408960307. The reversal of 9408960288 is 8820698049.

It is a super-2 number, since 2×9408960288² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9408960283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30060420 + ... + 30060732.

It is an arithmetic number, because the mean of its divisors is an integer number (60805472).

Almost surely, 2^9408960288 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 9408960288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17511975936).

9408960288 is an abundant number, since it is smaller than the sum of its proper divisors (25614991584).

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

9408960288 is a wasteful number, since it uses less digits than its factorization.

9408960288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 9408960288 is about 96999.7952987531. The cubic root of 9408960288 is about 2111.1246587775.

The spelling of 9408960288 in words is "nine billion, four hundred eight million, nine hundred sixty thousand, two hundred eighty-eight".