820322223028 has 96 divisors (see below), whose sum is σ = 1827391104000. Its totient is φ = 312935520000.

The previous prime is 820322223011. The next prime is 820322223031.

820322223028 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 820322222984 and 820322223002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4471248 + ... + 4651096.

It is an arithmetic number, because the mean of its divisors is an integer number (19035324000).

Almost surely, 2^820322223028 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 820322223028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913695552000).

820322223028 is an abundant number, since it is smaller than the sum of its proper divisors (1007068880972).

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

820322223028 is a wasteful number, since it uses less digits than its factorization.

820322223028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180181 (or 180179 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 820322223028 in words is "eight hundred twenty billion, three hundred twenty-two million, two hundred twenty-three thousand, twenty-eight".