284792112 has 120 divisors (see below), whose sum is σ = 901817280. Its totient is φ = 86287680.

The previous prime is 284792111. The next prime is 284792113. The reversal of 284792112 is 211297482.

284792112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (284792111) and next prime (284792113).

It is a super-2 number, since 2×284792112² = 162213094114841088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (284792111) 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 23 ways as a sum of consecutive naturals, for example, 39439 + ... + 46097.

It is an arithmetic number, because the mean of its divisors is an integer number (7515144).

Almost surely, 2^284792112 is an apocalyptic number.

284792112 is a gapful number since it is divisible by the number (22) 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 284792112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450908640).

284792112 is an abundant number, since it is smaller than the sum of its proper divisors (617025168).

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

284792112 is a wasteful number, since it uses less digits than its factorization.

284792112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6693 (or 6675 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 284792112 is about 16875.7847817516. The cubic root of 284792112 is about 657.9243884132.

The spelling of 284792112 in words is "two hundred eighty-four million, seven hundred ninety-two thousand, one hundred twelve".