1116073728 has 432 divisors, whose sum is σ = 4178393856. Its totient is φ = 288645120.

The previous prime is 1116073727. The next prime is 1116073733. The reversal of 1116073728 is 8273706111.

1116073728 is a `hidden beast` number, since 1 + 11 + 607 + 37 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 1116073692 and 1116073701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116073723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4789900 + ... + 4790132.

It is an arithmetic number, because the mean of its divisors is an integer number (9672208).

Almost surely, 2^1116073728 is an apocalyptic number.

1116073728 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 1116073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089196928).

1116073728 is an abundant number, since it is smaller than the sum of its proper divisors (3062320128).

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

1116073728 is an equidigital number, since it uses as much as digits as its factorization.

1116073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1116073728 is about 33407.6896537309. The cubic root of 1116073728 is about 1037.2838790747.

Adding to 1116073728 its reverse (8273706111), we get a palindrome (9389779839).

The spelling of 1116073728 in words is "one billion, one hundred sixteen million, seventy-three thousand, seven hundred twenty-eight".