822811028688 has 480 divisors, whose sum is σ = 2727329439744. Its totient is φ = 237867840000.

The previous prime is 822811028659. The next prime is 822811028693. The reversal of 822811028688 is 886820118228.

822811028688 is a `hidden beast` number, since 8 + 2 + 281 + 1 + 0 + 286 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94127998 + ... + 94136738.

Almost surely, 2^822811028688 is an apocalyptic number.

822811028688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822811028688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363664719872).

822811028688 is an abundant number, since it is smaller than the sum of its proper divisors (1904518411056).

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

822811028688 is a wasteful number, since it uses less digits than its factorization.

822811028688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8877 (or 8859 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 822811028688 in words is "eight hundred twenty-two billion, eight hundred eleven million, twenty-eight thousand, six hundred eighty-eight".