9268838400 has 360 divisors, whose sum is σ = 32342339680. Its totient is φ = 2335703040.

The previous prime is 9268838399. The next prime is 9268838401. The reversal of 9268838400 is 48388629.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9268838399) and next prime (9268838401).

It is a super-2 number, since 2×9268838400² (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 9268838400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9268838401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23347002 + ... + 23347398.

Almost surely, 2^9268838400 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 9268838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16171169840).

9268838400 is an abundant number, since it is smaller than the sum of its proper divisors (23073501280).

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

9268838400 is a wasteful number, since it uses less digits than its factorization.

9268838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 9268838400 is about 96274.8066733972. The cubic root of 9268838400 is about 2100.5923045802.

The spelling of 9268838400 in words is "nine billion, two hundred sixty-eight million, eight hundred thirty-eight thousand, four hundred".