284268168 has 36 divisors (see below), whose sum is σ = 770280615. Its totient is φ = 94708368.

The previous prime is 284268163. The next prime is 284268181. The reversal of 284268168 is 861862482.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 142134084 + 142134084 = 11922^2 + 11922^2 .

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

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11922.

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

It is not an unprimeable number, because it can be changed into a prime (284268161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 142071 + ... + 144057.

Almost surely, 2^284268168 is an apocalyptic number.

It is an amenable number.

284268168 is an abundant number, since it is smaller than the sum of its proper divisors (486012447).

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

284268168 is an equidigital number, since it uses as much as digits as its factorization.

284268168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 1992 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 284268168 is about 16860.2540906120. The cubic root of 284268168 is about 657.5206703637.

Multiplying 284268168 by its product of digits (294912), we get a square (83834093961216 = 9156096²).

The spelling of 284268168 in words is "two hundred eighty-four million, two hundred sixty-eight thousand, one hundred sixty-eight".