11128 has 16 divisors (see below), whose sum is σ = 22680. Its totient is φ = 5088.

The previous prime is 11119. The next prime is 11131. The reversal of 11128 is 82111.

It is a Harshad number since it is a multiple of its sum of digits (13).

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

It is a plaindrome in base 10 and base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51 + ... + 157.

2¹¹¹²⁸ 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 11128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340).

11128 is an abundant number, since it is smaller than the sum of its proper divisors (11552).

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

11128 is a wasteful number, since it uses less digits than its factorization.

11128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its digits is 16, while the sum is 13.

The square root of 11128 is about 105.4893359539. The cubic root of 11128 is about 22.3257319246.

Adding to 11128 its reverse (82111), we get a palindrome (93239).

The spelling of 11128 in words is "eleven thousand, one hundred twenty-eight".