82828816 has 30 divisors (see below), whose sum is σ = 186683550. Its totient is φ = 35497728.

The previous prime is 82828799. The next prime is 82828853. The reversal of 82828816 is 61882828.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 80281600 + 2547216 = 8960^2 + 1596^2 .

It is a super-2 number, since 2×82828816² = 13721225519923712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52041 + ... + 53608.

It is an arithmetic number, because the mean of its divisors is an integer number (6222785).

Almost surely, 2^82828816 is an apocalyptic number.

It is an amenable number.

82828816 is an abundant number, since it is smaller than the sum of its proper divisors (103854734).

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

82828816 is a wasteful number, since it uses less digits than its factorization.

82828816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105671 (or 105658 counting only the distinct ones).

The product of its digits is 98304, while the sum is 43.

The square root of 82828816 is about 9101.0337874332. The cubic root of 82828816 is about 435.9069745141.

The spelling of 82828816 in words is "eighty-two million, eight hundred twenty-eight thousand, eight hundred sixteen".