822424288 has 48 divisors (see below), whose sum is σ = 1864646784. Its totient is φ = 349764480.

The previous prime is 822424279. The next prime is 822424301. The reversal of 822424288 is 882424228.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 822424288.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15331 + ... + 43357.

It is an arithmetic number, because the mean of its divisors is an integer number (38846808).

Almost surely, 2^822424288 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 822424288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932323392).

822424288 is an abundant number, since it is smaller than the sum of its proper divisors (1042222496).

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

822424288 is a wasteful number, since it uses less digits than its factorization.

822424288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28175 (or 28167 counting only the distinct ones).

The product of its digits is 131072, while the sum is 40.

The square root of 822424288 is about 28677.9407907890. The cubic root of 822424288 is about 936.9116571171.

The spelling of 822424288 in words is "eight hundred twenty-two million, four hundred twenty-four thousand, two hundred eighty-eight".