1132228800 has 168 divisors, whose sum is σ = 4127550800. Its totient is φ = 301916160.

The previous prime is 1132228763. The next prime is 1132228819. The reversal of 1132228800 is 88222311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30096 + ... + 56304.

Almost surely, 2^1132228800 is an apocalyptic number.

1132228800 is a gapful number since it is divisible by the number (10) 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 1132228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063775400).

1132228800 is an abundant number, since it is smaller than the sum of its proper divisors (2995322000).

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

1132228800 is a wasteful number, since it uses less digits than its factorization.

1132228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26240 (or 26219 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1132228800 is about 33648.6076977934. The cubic root of 1132228800 is about 1042.2647882992.

The spelling of 1132228800 in words is "one billion, one hundred thirty-two million, two hundred twenty-eight thousand, eight hundred".