82636728 has 64 divisors (see below), whose sum is σ = 222082560. Its totient is φ = 25529856.

The previous prime is 82636721. The next prime is 82636739. The reversal of 82636728 is 82763628.

It is a self number, because there is not a number n which added to its sum of digits gives 82636728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82636721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25825 + ... + 28847.

It is an arithmetic number, because the mean of its divisors is an integer number (3470040).

Almost surely, 2^82636728 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 82636728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280).

82636728 is an abundant number, since it is smaller than the sum of its proper divisors (139445832).

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

82636728 is a wasteful number, since it uses less digits than its factorization.

82636728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3112 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 82636728 is about 9090.4745750703. The cubic root of 82636728 is about 435.5697436067.

The spelling of 82636728 in words is "eighty-two million, six hundred thirty-six thousand, seven hundred twenty-eight".