82128 has 40 divisors (see below), whose sum is σ = 223200. Its totient is φ = 25984.

The previous prime is 82073. The next prime is 82129.

82128 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82129) by changing a digit.

82128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1363 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2⁸²¹²⁸ 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 82128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111600).

82128 is an abundant number, since it is smaller than the sum of its proper divisors (141072).

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

82128 is a wasteful number, since it uses less digits than its factorization.

82128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 82128 is about 286.5798318096. The cubic root of 82128 is about 43.4674085378.

It can be divided in two parts, 82 and 128, that added together give a triangular number (210 = T₂₀).

The spelling of 82128 in words is "eighty-two thousand, one hundred twenty-eight".