285284320 has 96 divisors (see below), whose sum is σ = 703261440. Its totient is φ = 109240320.

The previous prime is 285284309. The next prime is 285284323. The reversal of 285284320 is 23482582.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285284323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560226 + ... + 560734.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^285284320 is an apocalyptic number.

285284320 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 285284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351630720).

285284320 is an abundant number, since it is smaller than the sum of its proper divisors (417977120).

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

285284320 is a wasteful number, since it uses less digits than its factorization.

285284320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 285284320 is about 16890.3617486423. The cubic root of 285284320 is about 658.3032018825.

The spelling of 285284320 in words is "two hundred eighty-five million, two hundred eighty-four thousand, three hundred twenty".