11328 has 28 divisors (see below), whose sum is σ = 30480. Its totient is φ = 3712.

The previous prime is 11321. The next prime is 11329. The reversal of 11328 is 82311.

Adding to 11328 its reverse (82311), we get a palindrome (93639).

It can be divided in two parts, 113 and 28, that added together give a palindrome (141).

It is a happy number.

11328 is nontrivially palindromic in base 15.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (11321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163 + ... + 221.

2^{11328} 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 11328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240).

11328 is an abundant number, since it is smaller than the sum of its proper divisors (19152).

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

11328 is an equidigital number, since it uses as much as digits as its factorization.

11328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 64 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 11328 is about 106.4330775652. The cubic root of 11328 is about 22.4586896320.

The spelling of 11328 in words is "eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 5664 11328

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