82019728 has 60 divisors (see below), whose sum is σ = 186065100. Its totient is φ = 34922496.

The previous prime is 82019723. The next prime is 82019741. The reversal of 82019728 is 82791028.

It can be written as a sum of positive squares in 2 ways, for example, as 32626944 + 49392784 = 5712^2 + 7028^2 .

It is not an unprimeable number, because it can be changed into a prime (82019723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182448 + ... + 182896.

It is an arithmetic number, because the mean of its divisors is an integer number (3101085).

Almost surely, 2^82019728 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 82019728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93032550).

82019728 is an abundant number, since it is smaller than the sum of its proper divisors (104045372).

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

82019728 is a wasteful number, since it uses less digits than its factorization.

82019728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 82019728 is about 9056.4743692013. The cubic root of 82019728 is about 434.4829864054.

The spelling of 82019728 in words is "eighty-two million, nineteen thousand, seven hundred twenty-eight".