82828096 has 56 divisors (see below), whose sum is σ = 178774344. Its totient is φ = 37847040.

The previous prime is 82828091. The next prime is 82828139. The reversal of 82828096 is 69082828.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 75342400 = 2736^2 + 8680^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82828091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93576 + ... + 94456.

It is an arithmetic number, because the mean of its divisors is an integer number (3192399).

Almost surely, 2^82828096 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 82828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89387172).

82828096 is an abundant number, since it is smaller than the sum of its proper divisors (95946248).

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

82828096 is a wasteful number, since it uses less digits than its factorization.

82828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 82828096 is about 9100.9942314013. The cubic root of 82828096 is about 435.9057114516.

The spelling of 82828096 in words is "eighty-two million, eight hundred twenty-eight thousand, ninety-six".