11267328 has 72 divisors (see below), whose sum is σ = 31788288. Its totient is φ = 3530752.

The previous prime is 11267327. The next prime is 11267339. The reversal of 11267328 is 82376211.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 11267295 and 11267304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11267327) 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 7 ways as a sum of consecutive naturals, for example, 12625 + ... + 13487.

It is an arithmetic number, because the mean of its divisors is an integer number (441504).

Almost surely, 2^11267328 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 11267328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894144).

11267328 is an abundant number, since it is smaller than the sum of its proper divisors (20520960).

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

11267328 is an equidigital number, since it uses as much as digits as its factorization.

11267328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 885 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 11267328 is about 3356.6840780747. The cubic root of 11267328 is about 224.1852209521.

The spelling of 11267328 in words is "eleven million, two hundred sixty-seven thousand, three hundred twenty-eight".