11705328 has 60 divisors (see below), whose sum is σ = 33900360. Its totient is φ = 3765888.

The previous prime is 11705327. The next prime is 11705359. The reversal of 11705328 is 82350711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11705327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2775 + ... + 5577.

It is an arithmetic number, because the mean of its divisors is an integer number (565006).

Almost surely, 2^11705328 is an apocalyptic number.

11705328 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 11705328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16950180).

11705328 is an abundant number, since it is smaller than the sum of its proper divisors (22195032).

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

11705328 is a wasteful number, since it uses less digits than its factorization.

11705328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11705328 is about 3421.3050141722. The cubic root of 11705328 is about 227.0533231353.

The spelling of 11705328 in words is "eleven million, seven hundred five thousand, three hundred twenty-eight".