11728 has 10 divisors (see below), whose sum is σ = 22754. Its totient is φ = 5856.

The previous prime is 11719. The next prime is 11731. The reversal of 11728 is 82711.

11728 is nontrivially palindromic in base 9.

11728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11664 + 64 = 108^2 + 8^2 .

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 as a sum of consecutive naturals, namely, 351 + ... + 382.

2¹¹⁷²⁸ is an apocalyptic number.

It is an amenable number.

11728 is a deficient number, since it is larger than the sum of its proper divisors (11026).

11728 is an equidigital number, since it uses as much as digits as its factorization.

11728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its digits is 112, while the sum is 19.

The square root of 11728 is about 108.2958909654. The cubic root of 11728 is about 22.7199821464.

It can be divided in two parts, 11 and 728, that multiplied together give a palindrome (8008).

The spelling of 11728 in words is "eleven thousand, seven hundred twenty-eight".