111628 has 24 divisors (see below), whose sum is σ = 221760. Its totient is φ = 48720.

The previous prime is 111623. The next prime is 111637. The reversal of 111628 is 826111.

111628 is a nontrivial binomial coefficient, being equal to C(473, 2).

It is not an unprimeable number, because it can be changed into a prime (111623) by changing a digit.

111628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1863 + ... + 1921.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2¹¹¹⁶²⁸ is an apocalyptic number.

111628 is the 472-nd triangular number.

111628 is the 158-th centered nonagonal number.

It is an amenable number.

111628 is a deficient number, since it is larger than the sum of its proper divisors (110132).

111628 is a wasteful number, since it uses less digits than its factorization.

111628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its digits is 96, while the sum is 19.

The square root of 111628 is about 334.1077670453. The cubic root of 111628 is about 48.1494186530.

Adding to 111628 its reverse (826111), we get a palindrome (937739).

The spelling of 111628 in words is "one hundred eleven thousand, six hundred twenty-eight".