111896928 has 324 divisors, whose sum is σ = 398672820. Its totient is φ = 29652480.

The previous prime is 111896903. The next prime is 111896933. The reversal of 111896928 is 829698111.

It is a super-3 number, since 3×111896928³ (a number of 25 digits) contains 333 as substring.

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

Its product of digits (62208) is a multiple of the sum of its prime divisors (48).

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 53 ways as a sum of consecutive naturals, for example, 5889303 + ... + 5889321.

Almost surely, 2^111896928 is an apocalyptic number.

111896928 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 111896928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199336410).

111896928 is an abundant number, since it is smaller than the sum of its proper divisors (286775892).

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

111896928 is a wasteful number, since it uses less digits than its factorization.

111896928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 48 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 111896928 is about 10578.1344290948. The cubic root of 111896928 is about 481.8805394852.

The spelling of 111896928 in words is "one hundred eleven million, eight hundred ninety-six thousand, nine hundred twenty-eight".