820868028 has 24 divisors (see below), whose sum is σ = 1951499088. Its totient is φ = 268459776.

The previous prime is 820868021. The next prime is 820868053.

820868028 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820868021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 644701 + ... + 645972.

It is an arithmetic number, because the mean of its divisors is an integer number (81312462).

Almost surely, 2^820868028 is an apocalyptic number.

It is an amenable number.

820868028 is an abundant number, since it is smaller than the sum of its proper divisors (1130631060).

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

820868028 is a wasteful number, since it uses less digits than its factorization.

820868028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290733 (or 1290731 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 820868028 is about 28650.7945439564. The cubic root of 820868028 is about 936.3203164413.

The spelling of 820868028 in words is "eight hundred twenty million, eight hundred sixty-eight thousand, twenty-eight".