112743828 has 36 divisors (see below), whose sum is σ = 288902068. Its totient is φ = 37065600.

The previous prime is 112743821. The next prime is 112743877. The reversal of 112743828 is 828347211.

112743828 is a `hidden beast` number, since 1 + 1 + 274 + 382 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76527504 + 36216324 = 8748^2 + 6018^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×112743828² = 25422341504187168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 112743792 and 112743801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112743821) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18823 + ... + 24078.

Almost surely, 2^112743828 is an apocalyptic number.

112743828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112743828 is an abundant number, since it is smaller than the sum of its proper divisors (176158240).

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

112743828 is a wasteful number, since it uses less digits than its factorization.

112743828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42984 (or 42979 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 112743828 is about 10618.0896586910. The cubic root of 112743828 is about 483.0932011547.

The spelling of 112743828 in words is "one hundred twelve million, seven hundred forty-three thousand, eight hundred twenty-eight".