8233628263328 has 96 divisors (see below), whose sum is σ = 18263940912000. Its totient is φ = 3625320416256.

The previous prime is 8233628263313. The next prime is 8233628263447.

8233628263328 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 2490998 + ... + 4761546.

It is an arithmetic number, because the mean of its divisors is an integer number (190249384500).

Almost surely, 2^{8233628263328} 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 8233628263328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9131970456000).

8233628263328 is an abundant number, since it is smaller than the sum of its proper divisors (10030312648672).

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

8233628263328 is a wasteful number, since it uses less digits than its factorization.

8233628263328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270974 (or 2270966 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 56.

The spelling of 8233628263328 in words is "eight trillion, two hundred thirty-three billion, six hundred twenty-eight million, two hundred sixty-three thousand, three hundred twenty-eight".