11978928 has 140 divisors (see below), whose sum is σ = 37948960. Its totient is φ = 3639168.

The previous prime is 11978921. The next prime is 11978959. The reversal of 11978928 is 82987911.

It is not an unprimeable number, because it can be changed into a prime (11978921) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 151593 + ... + 151671.

It is an arithmetic number, because the mean of its divisors is an integer number (271064).

Almost surely, 2^11978928 is an apocalyptic number.

11978928 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 11978928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974480).

11978928 is an abundant number, since it is smaller than the sum of its proper divisors (25970032).

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

11978928 is an equidigital number, since it uses as much as digits as its factorization.

11978928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 97 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The square root of 11978928 is about 3461.0587975358. The cubic root of 11978928 is about 228.8087621141.

The spelling of 11978928 in words is "eleven million, nine hundred seventy-eight thousand, nine hundred twenty-eight".