820028 has 12 divisors (see below), whose sum is σ = 1565592. Its totient is φ = 372720.

The previous prime is 819991. The next prime is 820037.

820028 is nontrivially palindromic in base 10.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 819991 and 820009.

It is a congruent number.

It is an unprimeable number.

820028 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, 9275 + ... + 9362.

It is an arithmetic number, because the mean of its divisors is an integer number (130466).

2⁸²⁰⁰²⁸ is an apocalyptic number.

It is an amenable number.

820028 is a deficient number, since it is larger than the sum of its proper divisors (745564).

820028 is a wasteful number, since it uses less digits than its factorization.

820028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18652 (or 18650 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 820028 is about 905.5539740954. The cubic root of 820028 is about 93.6000815739.

It can be divided in two parts, 8200 and 28, that added together give a palindrome (8228).

The spelling of 820028 in words is "eight hundred twenty thousand, twenty-eight".