285043968 has 288 divisors, whose sum is σ = 965422080. Its totient is φ = 82114560.

The previous prime is 285043963. The next prime is 285044009. The reversal of 285043968 is 869340582.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285043963) 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 31 ways as a sum of consecutive naturals, for example, 1748655 + ... + 1748817.

It is an arithmetic number, because the mean of its divisors is an integer number (3352160).

Almost surely, 2^285043968 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 285043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482711040).

285043968 is an abundant number, since it is smaller than the sum of its proper divisors (680378112).

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

285043968 is a wasteful number, since it uses less digits than its factorization.

285043968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 285043968 is about 16883.2451856863. The cubic root of 285043968 is about 658.1182764875.

The spelling of 285043968 in words is "two hundred eighty-five million, forty-three thousand, nine hundred sixty-eight".