8822435328 has 640 divisors, whose sum is σ = 32809328640. Its totient is φ = 2282618880.

The previous prime is 8822435267. The next prime is 8822435341. The reversal of 8822435328 is 8235342288.

It is a happy number.

8822435328 is a `hidden beast` number, since 8 + 82 + 243 + 5 + 328 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50996650 + ... + 50996822.

It is an arithmetic number, because the mean of its divisors is an integer number (51264576).

Almost surely, 2^8822435328 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 8822435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16404664320).

8822435328 is an abundant number, since it is smaller than the sum of its proper divisors (23986893312).

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

8822435328 is a wasteful number, since it uses less digits than its factorization.

8822435328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 8822435328 is about 93927.8197766775. The cubic root of 8822435328 is about 2066.3132528290.

The spelling of 8822435328 in words is "eight billion, eight hundred twenty-two million, four hundred thirty-five thousand, three hundred twenty-eight".