8314720128 has 384 divisors, whose sum is σ = 29772943200. Its totient is φ = 2188247040.

The previous prime is 8314720079. The next prime is 8314720201. The reversal of 8314720128 is 8210274138.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8314720092 and 8314720101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2799028 + ... + 2801996.

Almost surely, 2^8314720128 is an apocalyptic number.

8314720128 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 8314720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886471600).

8314720128 is an abundant number, since it is smaller than the sum of its proper divisors (21458223072).

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

8314720128 is a wasteful number, since it uses less digits than its factorization.

8314720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8314720128 is about 91185.0872018007. The cubic root of 8314720128 is about 2025.8900829662.

The spelling of 8314720128 in words is "eight billion, three hundred fourteen million, seven hundred twenty thousand, one hundred twenty-eight".