284216268 has 72 divisors (see below), whose sum is σ = 816851952. Its totient is φ = 76425216.

The previous prime is 284216201. The next prime is 284216279. The reversal of 284216268 is 862612482.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4221 + ... + 24212.

It is an arithmetic number, because the mean of its divisors is an integer number (11345166).

Almost surely, 2^284216268 is an apocalyptic number.

284216268 is a gapful number since it is divisible by the number (28) 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 284216268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408425976).

284216268 is an abundant number, since it is smaller than the sum of its proper divisors (532635684).

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

284216268 is a wasteful number, since it uses less digits than its factorization.

284216268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28471 (or 28462 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 284216268 is about 16858.7148976427. The cubic root of 284216268 is about 657.4806525171.

It can be divided in two parts, 2842 and 16268, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 284216268 in words is "two hundred eighty-four million, two hundred sixteen thousand, two hundred sixty-eight".