111349728 has 360 divisors, whose sum is σ = 418228272. Its totient is φ = 28366848.

The previous prime is 111349691. The next prime is 111349741. The reversal of 111349728 is 827943111.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (12096) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 111349692 and 111349701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5860503 + ... + 5860521.

Almost surely, 2^111349728 is an apocalyptic number.

111349728 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 111349728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209114136).

111349728 is an abundant number, since it is smaller than the sum of its proper divisors (306878544).

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

111349728 is a wasteful number, since it uses less digits than its factorization.

111349728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 111349728 is about 10552.2380564504. The cubic root of 111349728 is about 481.0937558116.

The spelling of 111349728 in words is "one hundred eleven million, three hundred forty-nine thousand, seven hundred twenty-eight".