111328 has 36 divisors (see below), whose sum is σ = 258552. Its totient is φ = 47040.

The previous prime is 111323. The next prime is 111337. The reversal of 111328 is 823111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111323) by changing a digit.

111328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1533 + ... + 1603.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2¹¹¹³²⁸ 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 111328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276).

111328 is an abundant number, since it is smaller than the sum of its proper divisors (147224).

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

111328 is an equidigital number, since it uses as much as digits as its factorization.

111328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 80 counting only the distinct ones).

The product of its digits is 48, while the sum is 16.

The square root of 111328 is about 333.6585080588. The cubic root of 111328 is about 48.1062461363.

Adding to 111328 its reverse (823111), we get a palindrome (934439).

The spelling of 111328 in words is "one hundred eleven thousand, three hundred twenty-eight".