9289080000 has 700 divisors, whose sum is σ = 35716841952. Its totient is φ = 2384640000.

The previous prime is 9289079981. The next prime is 9289080043. The reversal of 9289080000 is 809829.

It is a super-4 number, since 4×9289080000⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 99 ways as a sum of consecutive naturals, for example, 152279970 + ... + 152280030.

Almost surely, 2^9289080000 is an apocalyptic number.

9289080000 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 9289080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858420976).

9289080000 is an abundant number, since it is smaller than the sum of its proper divisors (26427761952).

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

9289080000 is an equidigital number, since it uses as much as digits as its factorization.

9289080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9289080000 is about 96379.8734176384. The cubic root of 9289080000 is about 2102.1203074478.

Adding to 9289080000 its reverse (809829), we get a palindrome (9289889829).

The spelling of 9289080000 in words is "nine billion, two hundred eighty-nine million, eighty thousand".