3280112828928 has 480 divisors, whose sum is σ = 10981131120960. Its totient is φ = 933896355840.

The previous prime is 3280112828899. The next prime is 3280112828929. The reversal of 3280112828928 is 8298282110823.

3280112828928 is a `hidden beast` number, since 3 + 280 + 1 + 1 + 282 + 89 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3280112828929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48908058 + ... + 48975078.

It is an arithmetic number, because the mean of its divisors is an integer number (22877356502).

Almost surely, 2^{3280112828928} is an apocalyptic number.

3280112828928 is a gapful number since it is divisible by the number (38) 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 3280112828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490565560480).

3280112828928 is an abundant number, since it is smaller than the sum of its proper divisors (7701018292032).

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

3280112828928 is a wasteful number, since it uses less digits than its factorization.

3280112828928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67120 (or 67101 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 3280112828928 in words is "three trillion, two hundred eighty billion, one hundred twelve million, eight hundred twenty-eight thousand, nine hundred twenty-eight".