11133288 has 112 divisors (see below), whose sum is σ = 33052320. Its totient is φ = 3506976.

The previous prime is 11133281. The next prime is 11133319. The reversal of 11133288 is 88233111.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (11133281) 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 27 ways as a sum of consecutive naturals, for example, 134095 + ... + 134177.

It is an arithmetic number, because the mean of its divisors is an integer number (295110).

Almost surely, 2^11133288 is an apocalyptic number.

11133288 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 11133288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16526160).

11133288 is an abundant number, since it is smaller than the sum of its proper divisors (21919032).

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

11133288 is an equidigital number, since it uses as much as digits as its factorization.

11133288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 11133288 is about 3336.6582084475. The cubic root of 11133288 is about 223.2926774339.

Adding to 11133288 its reverse (88233111), we get a palindrome (99366399).

The spelling of 11133288 in words is "eleven million, one hundred thirty-three thousand, two hundred eighty-eight".