82428 has 12 divisors (see below), whose sum is σ = 192360. Its totient is φ = 27472.

The previous prime is 82421. The next prime is 82457.

82428 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 82398 and 82407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82421) by changing a digit.

82428 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3423 + ... + 3446.

It is an arithmetic number, because the mean of its divisors is an integer number (16030).

2⁸²⁴²⁸ is an apocalyptic number.

It is an amenable number.

82428 is an abundant number, since it is smaller than the sum of its proper divisors (109932).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96180).

82428 is a wasteful number, since it uses less digits than its factorization.

82428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876 (or 6874 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 82428 is about 287.1027690567. The cubic root of 82428 is about 43.5202706424.

The spelling of 82428 in words is "eighty-two thousand, four hundred twenty-eight".