1118728800 has 576 divisors, whose sum is σ = 4749696000. Its totient is φ = 254016000.

The previous prime is 1118728799. The next prime is 1118728813. The reversal of 1118728800 is 88278111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 7408725 + ... + 7408875.

It is an arithmetic number, because the mean of its divisors is an integer number (8246000).

Almost surely, 2^1118728800 is an apocalyptic number.

1118728800 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 1118728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374848000).

1118728800 is an abundant number, since it is smaller than the sum of its proper divisors (3630967200).

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

1118728800 is a wasteful number, since it uses less digits than its factorization.

1118728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 1118728800 is about 33447.4034866684. The cubic root of 1118728800 is about 1038.1057729094.

The spelling of 1118728800 in words is "one billion, one hundred eighteen million, seven hundred twenty-eight thousand, eight hundred".