11116728 has 144 divisors (see below), whose sum is σ = 36812880. Its totient is φ = 3015936.

The previous prime is 11116727. The next prime is 11116733. The reversal of 11116728 is 82761111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11116727) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81076 + ... + 81212.

It is an arithmetic number, because the mean of its divisors is an integer number (255645).

Almost surely, 2^11116728 is an apocalyptic number.

11116728 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 11116728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18406440).

11116728 is an abundant number, since it is smaller than the sum of its proper divisors (25696152).

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

11116728 is a wasteful number, since it uses less digits than its factorization.

11116728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 11116728 is about 3334.1757602142. The cubic root of 11116728 is about 223.1819116648.

Adding to 11116728 its reverse (82761111), we get a palindrome (93877839).

The spelling of 11116728 in words is "eleven million, one hundred sixteen thousand, seven hundred twenty-eight".