11009328 has 80 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 3216640.

The previous prime is 11009321. The next prime is 11009351. The reversal of 11009328 is 82390011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11009298 and 11009307.

It is not an unprimeable number, because it can be changed into a prime (11009321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14953 + ... + 15671.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^11009328 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 11009328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

11009328 is an abundant number, since it is smaller than the sum of its proper divisors (21131472).

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

11009328 is a wasteful number, since it uses less digits than its factorization.

11009328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 11009328 is about 3318.0307412681. The cubic root of 11009328 is about 222.4608557995.

Adding to 11009328 its reverse (82390011), we get a palindrome (93399339).

The spelling of 11009328 in words is "eleven million, nine thousand, three hundred twenty-eight".