9273888000 has 432 divisors, whose sum is σ = 35951597136. Its totient is φ = 2281881600.

The previous prime is 9273887999. The next prime is 9273888017. The reversal of 9273888000 is 8883729.

It can be written as a sum of positive squares in 8 ways, for example, as 4770941184 + 4502946816 = 69072^2 + 67104^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3742762 + ... + 3745238.

Almost surely, 2^9273888000 is an apocalyptic number.

9273888000 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 9273888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975798568).

9273888000 is an abundant number, since it is smaller than the sum of its proper divisors (26677709136).

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

9273888000 is a wasteful number, since it uses less digits than its factorization.

9273888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 9273888000 is about 96301.0280318959. The cubic root of 9273888000 is about 2100.9736981196.

The spelling of 9273888000 in words is "nine billion, two hundred seventy-three million, eight hundred eighty-eight thousand".