11828133 has 16 divisors (see below), whose sum is σ = 17596800. Its totient is φ = 7852320.

The previous prime is 11828119. The next prime is 11828137. The reversal of 11828133 is 33182811.

It is not a de Polignac number, because 11828133 - 2²⁰ = 10779557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11828097 and 11828106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11828137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6808 + ... + 8366.

It is an arithmetic number, because the mean of its divisors is an integer number (1099800).

Almost surely, 2^11828133 is an apocalyptic number.

It is an amenable number.

11828133 is a deficient number, since it is larger than the sum of its proper divisors (5768667).

11828133 is a wasteful number, since it uses less digits than its factorization.

11828133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1843 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 11828133 is about 3439.2052861090. The cubic root of 11828133 is about 227.8445963177.

The spelling of 11828133 in words is "eleven million, eight hundred twenty-eight thousand, one hundred thirty-three".