11288 has 16 divisors (see below), whose sum is σ = 22680. Its totient is φ = 5248.

The previous prime is 11287. The next prime is 11299. The reversal of 11288 is 88211.

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

It is a plaindrome in base 10.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95 + ... + 177.

2¹¹²⁸⁸ is an apocalyptic number.

It is an amenable number.

11288 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340).

11288 is a wasteful number, since it uses less digits than its factorization.

11288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its digits is 128, while the sum is 20.

The square root of 11288 is about 106.2449998823. The cubic root of 11288 is about 22.4322240293.

Adding to 11288 its reverse (88211), we get a palindrome (99499).

The spelling of 11288 in words is "eleven thousand, two hundred eighty-eight".