82728711 has 36 divisors (see below), whose sum is σ = 130845000. Its totient is φ = 50341824.

The previous prime is 82728697. The next prime is 82728713. The reversal of 82728711 is 11782728.

It is a happy number.

It is not a de Polignac number, because 82728711 - 2¹¹ = 82726663 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82728713) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165540 + ... + 166038.

Almost surely, 2^82728711 is an apocalyptic number.

82728711 is a deficient number, since it is larger than the sum of its proper divisors (48116289).

82728711 is a wasteful number, since it uses less digits than its factorization.

82728711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 624 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 82728711 is about 9095.5324747922. The cubic root of 82728711 is about 435.7312946765.

The spelling of 82728711 in words is "eighty-two million, seven hundred twenty-eight thousand, seven hundred eleven".