1114417728 has 84 divisors (see below), whose sum is σ = 3382205580. Its totient is φ = 349618176.

The previous prime is 1114417727. The next prime is 1114417741. The reversal of 1114417728 is 8277144111.

It can be written as a sum of positive squares in 2 ways, for example, as 608707584 + 505710144 = 24672^2 + 22488^2 .

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 = 1114417692 and 1114417701.

It is not an unprimeable number, because it can be changed into a prime (1114417727) 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 11 ways as a sum of consecutive naturals, for example, 47113 + ... + 66696.

Almost surely, 2^1114417728 is an apocalyptic number.

1114417728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1114417728 is an abundant number, since it is smaller than the sum of its proper divisors (2267787852).

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

1114417728 is a wasteful number, since it uses less digits than its factorization.

1114417728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113844 (or 113831 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 1114417728 is about 33382.8957401841. The cubic root of 1114417728 is about 1036.7705938733.

The spelling of 1114417728 in words is "one billion, one hundred fourteen million, four hundred seventeen thousand, seven hundred twenty-eight".