1116828720 has 480 divisors, whose sum is σ = 4525103232. Its totient is φ = 241532928.

The previous prime is 1116828703. The next prime is 1116828737. The reversal of 1116828720 is 278286111.

It is an interprime number because it is at equal distance from previous prime (1116828703) and next prime (1116828737).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9883384 + ... + 9883496.

Almost surely, 2^1116828720 is an apocalyptic number.

1116828720 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 1116828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262551616).

1116828720 is an abundant number, since it is smaller than the sum of its proper divisors (3408274512).

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

1116828720 is a wasteful number, since it uses less digits than its factorization.

1116828720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1116828720 is about 33418.9874173351. The cubic root of 1116828720 is about 1037.5177239920.

The spelling of 1116828720 in words is "one billion, one hundred sixteen million, eight hundred twenty-eight thousand, seven hundred twenty".