1113931728 has 240 divisors, whose sum is σ = 3867252480. Its totient is φ = 293200128.

The previous prime is 1113931697. The next prime is 1113931771. The reversal of 1113931728 is 8271393111.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1113931692 and 1113931701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2214325 + ... + 2214827.

It is an arithmetic number, because the mean of its divisors is an integer number (16113552).

Almost surely, 2^1113931728 is an apocalyptic number.

1113931728 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 1113931728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933626240).

1113931728 is an abundant number, since it is smaller than the sum of its proper divisors (2753320752).

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

1113931728 is a wasteful number, since it uses less digits than its factorization.

1113931728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 528 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 1113931728 is about 33375.6157696004. The cubic root of 1113931728 is about 1036.6198593208.

The spelling of 1113931728 in words is "one billion, one hundred thirteen million, nine hundred thirty-one thousand, seven hundred twenty-eight".