11836928 has 40 divisors (see below), whose sum is σ = 24101880. Its totient is φ = 5806080.

The previous prime is 11836919. The next prime is 11836961. The reversal of 11836928 is 82963811.

It is a super-2 number, since 2×11836928² = 280225728954368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11836891 and 11836900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31043 + ... + 31421.

It is an arithmetic number, because the mean of its divisors is an integer number (602547).

Almost surely, 2^11836928 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 11836928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12050940).

11836928 is an abundant number, since it is smaller than the sum of its proper divisors (12264952).

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

11836928 is an frugal number, since it uses more digits than its factorization.

11836928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 442 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 11836928 is about 3440.4836869254. The cubic root of 11836928 is about 227.9010548407.

The spelling of 11836928 in words is "eleven million, eight hundred thirty-six thousand, nine hundred twenty-eight".