284955968 has 84 divisors (see below), whose sum is σ = 642128256. Its totient is φ = 125241600.

The previous prime is 284955967. The next prime is 284955997. The reversal of 284955968 is 869559482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284955967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239471 + ... + 240657.

It is an arithmetic number, because the mean of its divisors is an integer number (7644384).

Almost surely, 2^284955968 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 284955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321064128).

284955968 is an abundant number, since it is smaller than the sum of its proper divisors (357172288).

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

284955968 is a wasteful number, since it uses less digits than its factorization.

284955968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1231 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 56.

The square root of 284955968 is about 16880.6388504701. The cubic root of 284955968 is about 658.0505438150.

The spelling of 284955968 in words is "two hundred eighty-four million, nine hundred fifty-five thousand, nine hundred sixty-eight".