11607328 has 48 divisors (see below), whose sum is σ = 25492320. Its totient is φ = 5170176.

The previous prime is 11607319. The next prime is 11607329. The reversal of 11607328 is 82370611.

It is a junction number, because it is equal to n+sod(n) for n = 11607296 and 11607305.

It is not an unprimeable number, because it can be changed into a prime (11607329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9775 + ... + 10897.

It is an arithmetic number, because the mean of its divisors is an integer number (531090).

Almost surely, 2^11607328 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 11607328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12746160).

11607328 is an abundant number, since it is smaller than the sum of its proper divisors (13884992).

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

11607328 is a wasteful number, since it uses less digits than its factorization.

11607328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 11607328 is about 3406.9528907809. The cubic root of 11607328 is about 226.4178970065.

Adding to 11607328 its reverse (82370611), we get a palindrome (93977939).

It can be divided in two parts, 11607 and 328, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 11607328 in words is "eleven million, six hundred seven thousand, three hundred twenty-eight".