820628888860 has 48 divisors (see below), whose sum is σ = 1990573613280. Its totient is φ = 280856944640.

The previous prime is 820628888837. The next prime is 820628888879. The reversal of 820628888860 is 68888826028.

It is a happy number.

820628888860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 820628888792 and 820628888801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109706005 + ... + 109713484.

It is an arithmetic number, because the mean of its divisors is an integer number (41470283610).

Almost surely, 2^820628888860 is an apocalyptic number.

It is an amenable number.

820628888860 is an abundant number, since it is smaller than the sum of its proper divisors (1169944724420).

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

820628888860 is a wasteful number, since it uses less digits than its factorization.

820628888860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219419526 (or 219419524 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 64.

The spelling of 820628888860 in words is "eight hundred twenty billion, six hundred twenty-eight million, eight hundred eighty-eight thousand, eight hundred sixty".