11052288 has 180 divisors, whose sum is σ = 36356628. Its totient is φ = 3317760.

The previous prime is 11052271. The next prime is 11052311. The reversal of 11052288 is 88225011.

It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 10036224 = 1008^2 + 3168^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269548 + ... + 269588.

Almost surely, 2^11052288 is an apocalyptic number.

11052288 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 11052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18178314).

11052288 is an abundant number, since it is smaller than the sum of its proper divisors (25304340).

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

11052288 is an equidigital number, since it uses as much as digits as its factorization.

11052288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11052288 is about 3324.4981576172. The cubic root of 11052288 is about 222.7498384517.

Adding to 11052288 its reverse (88225011), we get a palindrome (99277299).

The spelling of 11052288 in words is "eleven million, fifty-two thousand, two hundred eighty-eight".