1116613728 has 96 divisors (see below), whose sum is σ = 3267986400. Its totient is φ = 370925568.

The previous prime is 1116613727. The next prime is 1116613747. The reversal of 1116613728 is 8273166111.

1116613728 is a `hidden beast` number, since 1 + 1 + 16 + 613 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 1116613692 and 1116613701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116613727) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 268368 + ... + 272496.

It is an arithmetic number, because the mean of its divisors is an integer number (34041525).

Almost surely, 2^1116613728 is an apocalyptic number.

1116613728 is a gapful number since it is divisible by the number (18) 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 1116613728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633993200).

1116613728 is an abundant number, since it is smaller than the sum of its proper divisors (2151372672).

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

1116613728 is a wasteful number, since it uses less digits than its factorization.

1116613728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4447 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1116613728 is about 33415.7706480039. The cubic root of 1116613728 is about 1037.4511449003.

Adding to 1116613728 its reverse (8273166111), we get a palindrome (9389779839).

The spelling of 1116613728 in words is "one billion, one hundred sixteen million, six hundred thirteen thousand, seven hundred twenty-eight".