284223280 has 160 divisors (see below), whose sum is σ = 771379200. Its totient is φ = 96307200.

The previous prime is 284223271. The next prime is 284223281. The reversal of 284223280 is 82322482.

It is not an unprimeable number, because it can be changed into a prime (284223281) 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, 1487985 + ... + 1488175.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2^284223280 is an apocalyptic number.

284223280 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 284223280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385689600).

284223280 is an abundant number, since it is smaller than the sum of its proper divisors (487155920).

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

284223280 is a wasteful number, since it uses less digits than its factorization.

284223280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 284223280 is about 16858.9228600169. The cubic root of 284223280 is about 657.4860594518.

The spelling of 284223280 in words is "two hundred eighty-four million, two hundred twenty-three thousand, two hundred eighty".