8396128224 has 288 divisors, whose sum is σ = 27302655744. Its totient is φ = 2516935680.

The previous prime is 8396128211. The next prime is 8396128243. The reversal of 8396128224 is 4228216938.

8396128224 is a `hidden beast` number, since 8 + 3 + 9 + 612 + 8 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 8396128224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8809732 + ... + 8810684.

It is an arithmetic number, because the mean of its divisors is an integer number (94800888).

Almost surely, 2^8396128224 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 8396128224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651327872).

8396128224 is an abundant number, since it is smaller than the sum of its proper divisors (18906527520).

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

8396128224 is a wasteful number, since it uses less digits than its factorization.

8396128224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1072 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 8396128224 is about 91630.3891948517. The cubic root of 8396128224 is about 2032.4803434871.

The spelling of 8396128224 in words is "eight billion, three hundred ninety-six million, one hundred twenty-eight thousand, two hundred twenty-four".