82711728 has 180 divisors, whose sum is σ = 262420704. Its totient is φ = 24288000.

The previous prime is 82711723. The next prime is 82711729.

It is a happy number.

82711728 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82711692 and 82711701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82711721) 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, 818878 + ... + 818978.

Almost surely, 2^82711728 is an apocalyptic number.

82711728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82711728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131210352).

82711728 is an abundant number, since it is smaller than the sum of its proper divisors (179708976).

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

82711728 is a wasteful number, since it uses less digits than its factorization.

82711728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

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

The square root of 82711728 is about 9094.5988366722. The cubic root of 82711728 is about 435.7014762055.

It can be divided in two parts, 8271 and 1728, that added together give a palindrome (9999).

The spelling of 82711728 in words is "eighty-two million, seven hundred eleven thousand, seven hundred twenty-eight".