111806928 has 60 divisors (see below), whose sum is σ = 315345888. Its totient is φ = 36978240.

The previous prime is 111806927. The next prime is 111806951. The reversal of 111806928 is 829608111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 111806892 and 111806901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111806927) 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 11 ways as a sum of consecutive naturals, for example, 15901 + ... + 21827.

Almost surely, 2^111806928 is an apocalyptic number.

111806928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111806928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157672944).

111806928 is an abundant number, since it is smaller than the sum of its proper divisors (203538960).

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

111806928 is a wasteful number, since it uses less digits than its factorization.

111806928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6072 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 111806928 is about 10573.8795151070. The cubic root of 111806928 is about 481.7513107924.

The spelling of 111806928 in words is "one hundred eleven million, eight hundred six thousand, nine hundred twenty-eight".