82628 has 24 divisors (see below), whose sum is σ = 178752. Its totient is φ = 32544.

The previous prime is 82619. The next prime is 82633.

82628 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 82597 and 82606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2⁸²⁶²⁸ 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 82628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89376).

82628 is an abundant number, since it is smaller than the sum of its proper divisors (96124).

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

82628 is a wasteful number, since it uses less digits than its factorization.

82628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 82628 is about 287.4508653666. The cubic root of 82628 is about 43.5554408268. Note that the first 3 decimals are identical.

The spelling of 82628 in words is "eighty-two thousand, six hundred twenty-eight".