8382216528 has 160 divisors (see below), whose sum is σ = 27620613120. Its totient is φ = 2384173440.

The previous prime is 8382216499. The next prime is 8382216533. The reversal of 8382216528 is 8256122838.

8382216528 is a `hidden beast` number, since 8 + 382 + 216 + 52 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680343 + ... + 692553.

It is an arithmetic number, because the mean of its divisors is an integer number (172628832).

Almost surely, 2^8382216528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8382216528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13810306560).

8382216528 is an abundant number, since it is smaller than the sum of its proper divisors (19238396592).

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

8382216528 is a wasteful number, since it uses less digits than its factorization.

8382216528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12462 (or 12450 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 8382216528 is about 91554.4457030897. The cubic root of 8382216528 is about 2031.3571718343.

The spelling of 8382216528 in words is "eight billion, three hundred eighty-two million, two hundred sixteen thousand, five hundred twenty-eight".