11708928 has 240 divisors, whose sum is σ = 43538880. Its totient is φ = 3041280.

The previous prime is 11708923. The next prime is 11709007. The reversal of 11708928 is 82980711.

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 = 11708892 and 11708901.

It is not an unprimeable number, because it can be changed into a prime (11708923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1064443 + ... + 1064453.

It is an arithmetic number, because the mean of its divisors is an integer number (181412).

Almost surely, 2^11708928 is an apocalyptic number.

11708928 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 11708928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21769440).

11708928 is an abundant number, since it is smaller than the sum of its proper divisors (31829952).

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

11708928 is an equidigital number, since it uses as much as digits as its factorization.

11708928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

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

The square root of 11708928 is about 3421.8310887594. The cubic root of 11708928 is about 227.0765976698.

The spelling of 11708928 in words is "eleven million, seven hundred eight thousand, nine hundred twenty-eight".