11528 has 16 divisors (see below), whose sum is σ = 23760. Its totient is φ = 5200.

The previous prime is 11527. The next prime is 11549. The reversal of 11528 is 82511.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (11527) 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, 23 + ... + 153.

It is an arithmetic number, because the mean of its divisors is an integer number (1485).

2¹¹⁵²⁸ 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 11528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11880).

11528 is an abundant number, since it is smaller than the sum of its proper divisors (12232).

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

11528 is a wasteful number, since it uses less digits than its factorization.

11528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its digits is 80, while the sum is 17.

The square root of 11528 is about 107.3685242518. The cubic root of 11528 is about 22.5900914614.

Subtracting from 11528 its sum of digits (17), we obtain a palindrome (11511).

It can be divided in two parts, 1152 and 8, that multiplied together give a square (9216 = 96²).

The spelling of 11528 in words is "eleven thousand, five hundred twenty-eight".