82728909 has 18 divisors (see below), whose sum is σ = 123837870. Its totient is φ = 53156208.

The previous prime is 82728901. The next prime is 82728911. The reversal of 82728909 is 90982728.

It can be written as a sum of positive squares in only one way, i.e., 71318025 + 11410884 = 8445^2 + 3378^2 .

It is not a de Polignac number, because 82728909 - 2³ = 82728901 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82728901) 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 17 ways as a sum of consecutive naturals, for example, 146662 + ... + 147224.

Almost surely, 2^82728909 is an apocalyptic number.

It is an amenable number.

82728909 is a deficient number, since it is larger than the sum of its proper divisors (41108961).

82728909 is an equidigital number, since it uses as much as digits as its factorization.

82728909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 82728909 is about 9095.5433592502. The cubic root of 82728909 is about 435.7316422976.

The spelling of 82728909 in words is "eighty-two million, seven hundred twenty-eight thousand, nine hundred nine".