8434355328 has 192 divisors, whose sum is σ = 27875065920. Its totient is φ = 2397911040.

The previous prime is 8434355317. The next prime is 8434355329. The reversal of 8434355328 is 8235534348.

8434355328 is a `hidden beast` number, since 84 + 3 + 4 + 35 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×8434355328² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8434355329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699026 + ... + 1703982.

It is an arithmetic number, because the mean of its divisors is an integer number (145182635).

Almost surely, 2^8434355328 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 8434355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937532960).

8434355328 is an abundant number, since it is smaller than the sum of its proper divisors (19440710592).

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

8434355328 is a wasteful number, since it uses less digits than its factorization.

8434355328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195 (or 5180 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 8434355328 is about 91838.7463329068. The cubic root of 8434355328 is about 2035.5602638906.

The spelling of 8434355328 in words is "eight billion, four hundred thirty-four million, three hundred fifty-five thousand, three hundred twenty-eight".