22802971828 has 288 divisors, whose sum is σ = 56467756800. Its totient is φ = 7935750144.

The previous prime is 22802971799. The next prime is 22802971897. The reversal of 22802971828 is 82817920822.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84769278 + ... + 84769546.

It is an arithmetic number, because the mean of its divisors is an integer number (196068600).

Almost surely, 2^22802971828 is an apocalyptic number.

22802971828 is a gapful number since it is divisible by the number (28) 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 22802971828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28233878400).

22802971828 is an abundant number, since it is smaller than the sum of its proper divisors (33664784972).

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

22802971828 is a wasteful number, since it uses less digits than its factorization.

22802971828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

The spelling of 22802971828 in words is "twenty-two billion, eight hundred two million, nine hundred seventy-one thousand, eight hundred twenty-eight".