8328448128 has 512 divisors, whose sum is σ = 30400634880. Its totient is φ = 1950105600.

The previous prime is 8328448103. The next prime is 8328448171. The reversal of 8328448128 is 8218448238.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

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 63 ways as a sum of consecutive naturals, for example, 18065818 + ... + 18066278.

It is an arithmetic number, because the mean of its divisors is an integer number (59376240).

Almost surely, 2^8328448128 is an apocalyptic number.

8328448128 is a gapful number since it is divisible by the number (88) 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 8328448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15200317440).

8328448128 is an abundant number, since it is smaller than the sum of its proper divisors (22072186752).

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

8328448128 is a wasteful number, since it uses less digits than its factorization.

8328448128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 8328448128 is about 91260.3316233291. The cubic root of 8328448128 is about 2027.0044170092.

The spelling of 8328448128 in words is "eight billion, three hundred twenty-eight million, four hundred forty-eight thousand, one hundred twenty-eight".