8216338284 has 144 divisors (see below), whose sum is σ = 26151181056. Its totient is φ = 2112912000.

The previous prime is 8216338271. The next prime is 8216338327. The reversal of 8216338284 is 4828336128.

8216338284 is a `hidden beast` number, since 8 + 2 + 1 + 633 + 8 + 2 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265299 + ... + 294645.

It is an arithmetic number, because the mean of its divisors is an integer number (181605424).

Almost surely, 2^8216338284 is an apocalyptic number.

8216338284 is a gapful number since it is divisible by the number (84) 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 8216338284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13075590528).

8216338284 is an abundant number, since it is smaller than the sum of its proper divisors (17934842772).

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

8216338284 is a wasteful number, since it uses less digits than its factorization.

8216338284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29476 (or 29471 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 8216338284 is about 90644.0195710671. The cubic root of 8216338284 is about 2017.8680807852.

The spelling of 8216338284 in words is "eight billion, two hundred sixteen million, three hundred thirty-eight thousand, two hundred eighty-four".