28206866601 has 15 divisors (see below), whose sum is σ = 42138441543. Its totient is φ = 18803570040.

The previous prime is 28206866579. The next prime is 28206866629. The reversal of 28206866601 is 10666860282.

The square root of 28206866601 is 167949.

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

It can be written as a sum of positive squares in only one way, i.e., 2485122201 + 25721744400 = 49851^2 + 160380^2 .

It is not a de Polignac number, because 28206866601 - 2¹³ = 28206858409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28206866671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1502211 + ... + 1520871.

Almost surely, 2^28206866601 is an apocalyptic number.

28206866601 is the 167949-th square number.

28206866601 is the 83975-th centered octagonal number.

It is an amenable number.

28206866601 is a deficient number, since it is larger than the sum of its proper divisors (13931574942).

28206866601 is an frugal number, since it uses more digits than its factorization.

28206866601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37334 (or 18664 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28206866601 in words is "twenty-eight billion, two hundred six million, eight hundred sixty-six thousand, six hundred one".