11833728 has 32 divisors (see below), whose sum is σ = 31434360. Its totient is φ = 3944448.

The previous prime is 11833721. The next prime is 11833763. The reversal of 11833728 is 82733811.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11833721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15025 + ... + 15792.

Almost surely, 2^11833728 is an apocalyptic number.

It is an amenable number.

11833728 is an abundant number, since it is smaller than the sum of its proper divisors (19600632).

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

11833728 is an equidigital number, since it uses as much as digits as its factorization.

11833728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30834 (or 30822 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 11833728 is about 3440.0186046009. The cubic root of 11833728 is about 227.8805160347.

It can be divided in two parts, 11833 and 728, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 11833728 in words is "eleven million, eight hundred thirty-three thousand, seven hundred twenty-eight".