11807928 has 96 divisors (see below), whose sum is σ = 36981360. Its totient is φ = 3363840.

The previous prime is 11807909. The next prime is 11807941. The reversal of 11807928 is 82970811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11807892 and 11807901.

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 23 ways as a sum of consecutive naturals, for example, 13026 + ... + 13902.

Almost surely, 2^11807928 is an apocalyptic number.

11807928 is a gapful number since it is divisible by the number (18) 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 11807928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18490680).

11807928 is an abundant number, since it is smaller than the sum of its proper divisors (25173432).

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

11807928 is a wasteful number, since it uses less digits than its factorization.

11807928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11807928 is about 3436.2665787159. The cubic root of 11807928 is about 227.7147864857.

The spelling of 11807928 in words is "eleven million, eight hundred seven thousand, nine hundred twenty-eight".