9285628800 has 192 divisors, whose sum is σ = 34954012800. Its totient is φ = 2122414080.

The previous prime is 9285628799. The next prime is 9285628811. The reversal of 9285628800 is 88265829.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×9285628800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9285628800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1890 + ... + 136289.

It is an arithmetic number, because the mean of its divisors is an integer number (182052150).

Almost surely, 2^9285628800 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 9285628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17477006400).

9285628800 is an abundant number, since it is smaller than the sum of its proper divisors (25668384000).

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

9285628800 is a wasteful number, since it uses less digits than its factorization.

9285628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138213 (or 138196 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 9285628800 is about 96361.9676013312. The cubic root of 9285628800 is about 2101.8599394939.

The spelling of 9285628800 in words is "nine billion, two hundred eighty-five million, six hundred twenty-eight thousand, eight hundred".