9289728000000 has 1470 divisors, whose sum is σ = 39648753583208. Its totient is φ = 2123366400000.

The previous prime is 9289727999911. The next prime is 9289728000037. The reversal of 9289728000000 is 8279829.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 9289728000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 1327103999997 + ... + 1327104000003.

Almost surely, 2^{9289728000000} is an apocalyptic number.

9289728000000 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 9289728000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19824376791604).

9289728000000 is an abundant number, since it is smaller than the sum of its proper divisors (30359025583208).

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

9289728000000 is an frugal number, since it uses more digits than its factorization.

9289728000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

9289728000000 divided by its product of nonzero digits (145152) gives a 6-th power (64000000 = 20⁶).

The spelling of 9289728000000 in words is "nine trillion, two hundred eighty-nine billion, seven hundred twenty-eight million", and thus it is an aban number.