11928 has 32 divisors (see below), whose sum is σ = 34560. Its totient is φ = 3360.

The previous prime is 11927. The next prime is 11933. The reversal of 11928 is 82911.

11928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 133 + ... + 203.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

2¹¹⁹²⁸ 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 11928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280).

11928 is an abundant number, since it is smaller than the sum of its proper divisors (22632).

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

11928 is a wasteful number, since it uses less digits than its factorization.

11928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 11928 is about 109.2153835318. The cubic root of 11928 is about 22.8484043977.

It can be divided in two parts, 11 and 928, that added together give a palindrome (939).

The spelling of 11928 in words is "eleven thousand, nine hundred twenty-eight".