9268542800 has 120 divisors (see below), whose sum is σ = 25721157312. Its totient is φ = 3172096000.

The previous prime is 9268542799. The next prime is 9268542823. The reversal of 9268542800 is 82458629.

It is a super-3 number, since 3×9268542800³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 12845 + ... + 136755.

Almost surely, 2^9268542800 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 9268542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12860578656).

9268542800 is an abundant number, since it is smaller than the sum of its proper divisors (16452614512).

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

9268542800 is a wasteful number, since it uses less digits than its factorization.

9268542800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123957 (or 123946 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 9268542800 is about 96273.2714724082. The cubic root of 9268542800 is about 2100.5699737818.

The spelling of 9268542800 in words is "nine billion, two hundred sixty-eight million, five hundred forty-two thousand, eight hundred".