11795328 has 64 divisors (see below), whose sum is σ = 34822800. Its totient is φ = 3930624.

The previous prime is 11795323. The next prime is 11795347. The reversal of 11795328 is 82359711.

11795328 is a `hidden beast` number, since 117 + 9 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 11795292 and 11795301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11795323) 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 7 ways as a sum of consecutive naturals, for example, 1750 + ... + 5162.

Almost surely, 2^11795328 is an apocalyptic number.

11795328 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 11795328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17411400).

11795328 is an abundant number, since it is smaller than the sum of its proper divisors (23027472).

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

11795328 is an equidigital number, since it uses as much as digits as its factorization.

11795328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3418 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 11795328 is about 3434.4327042468. The cubic root of 11795328 is about 227.6337610517.

The spelling of 11795328 in words is "eleven million, seven hundred ninety-five thousand, three hundred twenty-eight".