8235008005328 has 40 divisors (see below), whose sum is σ = 17231337181128. Its totient is φ = 3790005829632.

The previous prime is 8235008005241. The next prime is 8235008005333.

8235008005328 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 286623178384 + 7948384826944 = 535372^2 + 2819288^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56005025 + ... + 56151872.

Almost surely, 2^{8235008005328} is an apocalyptic number.

It is an amenable number.

8235008005328 is an abundant number, since it is smaller than the sum of its proper divisors (8996329175800).

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

8235008005328 is a wasteful number, since it uses less digits than its factorization.

8235008005328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112157271 (or 112157265 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 8235008005328 in words is "eight trillion, two hundred thirty-five billion, eight million, five thousand, three hundred twenty-eight".