9288000000 has 560 divisors, whose sum is σ = 35165174880. Its totient is φ = 2419200000.

The previous prime is 9287999983. The next prime is 9288000019. The reversal of 9288000000 is 8829.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 215999979 + ... + 216000021.

Almost surely, 2^9288000000 is an apocalyptic number.

9288000000 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 9288000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582587440).

9288000000 is an abundant number, since it is smaller than the sum of its proper divisors (25877174880).

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

9288000000 is an frugal number, since it uses more digits than its factorization.

9288000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 9288000000 is about 96374.2704252541. The cubic root of 9288000000 is about 2102.0388362320.

Adding to 9288000000 its reverse (8829), we get a palindrome (9288008829).

The spelling of 9288000000 in words is "nine billion, two hundred eighty-eight million", and thus it is an aban number.