11223226728 has 256 divisors, whose sum is σ = 36210278400. Its totient is φ = 3154878720.

The previous prime is 11223226723. The next prime is 11223226759. The reversal of 11223226728 is 82762232211.

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 = 11223226692 and 11223226701.

It is not an unprimeable number, because it can be changed into a prime (11223226723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40516926 + ... + 40517202.

It is an arithmetic number, because the mean of its divisors is an integer number (141446400).

Almost surely, 2^11223226728 is an apocalyptic number.

11223226728 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 11223226728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105139200).

11223226728 is an abundant number, since it is smaller than the sum of its proper divisors (24987051672).

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

11223226728 is a wasteful number, since it uses less digits than its factorization.

11223226728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 627 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

Adding to 11223226728 its reverse (82762232211), we get a palindrome (93985458939).

The spelling of 11223226728 in words is "eleven billion, two hundred twenty-three million, two hundred twenty-six thousand, seven hundred twenty-eight".