284256112 has 120 divisors (see below), whose sum is σ = 689539200. Its totient is φ = 110885760.

The previous prime is 284256109. The next prime is 284256113. The reversal of 284256112 is 211652482.

284256112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284256113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2044939 + ... + 2045077.

It is an arithmetic number, because the mean of its divisors is an integer number (5746160).

Almost surely, 2^284256112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284256112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344769600).

284256112 is an abundant number, since it is smaller than the sum of its proper divisors (405283088).

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

284256112 is a wasteful number, since it uses less digits than its factorization.

284256112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 198 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 284256112 is about 16859.8965595878. The cubic root of 284256112 is about 657.5113749375.

The spelling of 284256112 in words is "two hundred eighty-four million, two hundred fifty-six thousand, one hundred twelve".