11528320 has 32 divisors (see below), whose sum is σ = 27561420. Its totient is φ = 4611072.

The previous prime is 11528317. The next prime is 11528323. The reversal of 11528320 is 2382511.

It is an interprime number because it is at equal distance from previous prime (11528317) and next prime (11528323).

It can be written as a sum of positive squares in 2 ways, for example, as 11128896 + 399424 = 3336^2 + 632^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 11528291 and 11528300.

It is not an unprimeable number, because it can be changed into a prime (11528323) 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 3 ways as a sum of consecutive naturals, for example, 8367 + ... + 9646.

Almost surely, 2^11528320 is an apocalyptic number.

11528320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11528320 is an abundant number, since it is smaller than the sum of its proper divisors (16033100).

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

11528320 is an equidigital number, since it uses as much as digits as its factorization.

11528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18032 (or 18020 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 11528320 is about 3395.3379802311. The cubic root of 11528320 is about 225.9030048179.

The spelling of 11528320 in words is "eleven million, five hundred twenty-eight thousand, three hundred twenty".