11113728 has 72 divisors (see below), whose sum is σ = 30660000. Its totient is φ = 3569664.

The previous prime is 11113723. The next prime is 11113741. The reversal of 11113728 is 82731111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 11113698 and 11113707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22023 + ... + 22521.

Almost surely, 2^11113728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330000).

11113728 is an abundant number, since it is smaller than the sum of its proper divisors (19546272).

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

11113728 is an equidigital number, since it uses as much as digits as its factorization.

11113728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 533 counting only the distinct ones).

The product of its digits is 336, while the sum is 24.

The square root of 11113728 is about 3333.7258435570. The cubic root of 11113728 is about 223.1618336354.

Adding to 11113728 its reverse (82731111), we get a palindrome (93844839).

The spelling of 11113728 in words is "eleven million, one hundred thirteen thousand, seven hundred twenty-eight".