8120348928 has 288 divisors, whose sum is σ = 26313638400. Its totient is φ = 2458681344.

The previous prime is 8120348897. The next prime is 8120348969. The reversal of 8120348928 is 8298430218.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3406425 + ... + 3408807.

It is an arithmetic number, because the mean of its divisors is an integer number (91366800).

Almost surely, 2^8120348928 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 8120348928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13156819200).

8120348928 is an abundant number, since it is smaller than the sum of its proper divisors (18193289472).

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

8120348928 is a wasteful number, since it uses less digits than its factorization.

8120348928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8120348928 is about 90112.9786878672. The cubic root of 8120348928 is about 2009.9792022798.

The spelling of 8120348928 in words is "eight billion, one hundred twenty million, three hundred forty-eight thousand, nine hundred twenty-eight".