1113328800 has 504 divisors, whose sum is σ = 4303412064. Its totient is φ = 280558080.

The previous prime is 1113328787. The next prime is 1113328817. The reversal of 1113328800 is 88233111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 13413559 + ... + 13413641.

It is an arithmetic number, because the mean of its divisors is an integer number (8538516).

Almost surely, 2^1113328800 is an apocalyptic number.

1113328800 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 1113328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151706032).

1113328800 is an abundant number, since it is smaller than the sum of its proper divisors (3190083264).

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

1113328800 is an equidigital number, since it uses as much as digits as its factorization.

1113328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1113328800 is about 33366.5820844749. The cubic root of 1113328800 is about 1036.4327982048.

The spelling of 1113328800 in words is "one billion, one hundred thirteen million, three hundred twenty-eight thousand, eight hundred".