11647328 has 96 divisors (see below), whose sum is σ = 29756160. Its totient is φ = 4354560.

The previous prime is 11647327. The next prime is 11647331. The reversal of 11647328 is 82374611.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11647294 and 11647303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11647327) 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 15 ways as a sum of consecutive naturals, for example, 71375 + ... + 71537.

It is an arithmetic number, because the mean of its divisors is an integer number (309960).

Almost surely, 2^11647328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11647328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878080).

11647328 is an abundant number, since it is smaller than the sum of its proper divisors (18108832).

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

11647328 is a wasteful number, since it uses less digits than its factorization.

11647328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 11647328 is about 3412.8181902938. The cubic root of 11647328 is about 226.6776849700.

The spelling of 11647328 in words is "eleven million, six hundred forty-seven thousand, three hundred twenty-eight".