111228768 has 192 divisors, whose sum is σ = 378846720. Its totient is φ = 31090176.

The previous prime is 111228763. The next prime is 111228769. The reversal of 111228768 is 867822111.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111228763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320371 + ... + 320717.

It is an arithmetic number, because the mean of its divisors is an integer number (1973160).

Almost surely, 2^111228768 is an apocalyptic number.

111228768 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 111228768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189423360).

111228768 is an abundant number, since it is smaller than the sum of its proper divisors (267617952).

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

111228768 is a wasteful number, since it uses less digits than its factorization.

111228768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 412 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 111228768 is about 10546.5050135104. The cubic root of 111228768 is about 480.9194875060.

The spelling of 111228768 in words is "one hundred eleven million, two hundred twenty-eight thousand, seven hundred sixty-eight".