8028433235601 has 27 divisors (see below), whose sum is σ = 11623639327131. Its totient is φ = 5339849982624.

The previous prime is 8028433235567. The next prime is 8028433235621. The reversal of 8028433235601 is 1065323348208.

The square root of 8028433235601 is 2833449.

It is a perfect power (a square), and thus also a powerful number.

8028433235601 is a `hidden beast` number, since 8 + 0 + 2 + 8 + 4 + 3 + 3 + 2 + 35 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7849808666001 + 178624569600 = 2801751^2 + 422640^2 .

It is not a de Polignac number, because 8028433235601 - 2¹¹ = 8028433233553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8028433235621) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 4989702885 + ... + 4989704493.

Almost surely, 2^{8028433235601} is an apocalyptic number.

8028433235601 is the 2833449-th square number.

8028433235601 is the 1416725-th centered octagonal number.

It is an amenable number.

8028433235601 is a deficient number, since it is larger than the sum of its proper divisors (3595206091530).

8028433235601 is an frugal number, since it uses more digits than its factorization.

8028433235601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 8028433235601 in words is "eight trillion, twenty-eight billion, four hundred thirty-three million, two hundred thirty-five thousand, six hundred one".