285768280 has 64 divisors (see below), whose sum is σ = 744192000. Its totient is φ = 96729984.

The previous prime is 285768271. The next prime is 285768281. The reversal of 285768280 is 82867582.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 285768280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285768281) 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 15 ways as a sum of consecutive naturals, for example, 15661 + ... + 28579.

It is an arithmetic number, because the mean of its divisors is an integer number (11628000).

Almost surely, 2^285768280 is an apocalyptic number.

285768280 is a gapful number since it is divisible by the number (20) 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 285768280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372096000).

285768280 is an abundant number, since it is smaller than the sum of its proper divisors (458423720).

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

285768280 is a wasteful number, since it uses less digits than its factorization.

285768280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13016 (or 13012 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 285768280 is about 16904.6821916296. The cubic root of 285768280 is about 658.6752429308.

It can be divided in two parts, 28576 and 8280, that added together give a triangular number (36856 = T₂₇₁).

The spelling of 285768280 in words is "two hundred eighty-five million, seven hundred sixty-eight thousand, two hundred eighty".