11728256 has 32 divisors (see below), whose sum is σ = 23776200. Its totient is φ = 5761024.

The previous prime is 11728247. The next prime is 11728271. The reversal of 11728256 is 65282711.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6776 + ... + 8328.

Almost surely, 2^11728256 is an apocalyptic number.

11728256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11888100).

11728256 is an abundant number, since it is smaller than the sum of its proper divisors (12047944).

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

11728256 is an equidigital number, since it uses as much as digits as its factorization.

11728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1614 counting only the distinct ones).

The product of its digits is 6720, while the sum is 32.

The square root of 11728256 is about 3424.6541431216. The cubic root of 11728256 is about 227.2014745656.

The spelling of 11728256 in words is "eleven million, seven hundred twenty-eight thousand, two hundred fifty-six".