32628280689 has 27 divisors (see below), whose sum is σ = 49756505643. Its totient is φ = 20600832384.

The previous prime is 32628280687. The next prime is 32628280691. The reversal of 32628280689 is 98608282623.

The square root of 32628280689 is 180633.

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

32628280689 is a `hidden beast` number, since 3 + 2 + 628 + 2 + 8 + 0 + 6 + 8 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (32628280687) and next prime (32628280691).

It can be written as a sum of positive squares in only one way, i.e., 26967223089 + 5661057600 = 164217^2 + 75240^2 .

It is not a de Polignac number, because 32628280689 - 2¹ = 32628280687 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32628280681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10294497 + ... + 10297665.

Almost surely, 2^32628280689 is an apocalyptic number.

32628280689 is the 180633-rd square number.

32628280689 is the 90317-th centered octagonal number.

It is an amenable number.

32628280689 is a deficient number, since it is larger than the sum of its proper divisors (17128224954).

32628280689 is an frugal number, since it uses more digits than its factorization.

32628280689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 32628280689 in words is "thirty-two billion, six hundred twenty-eight million, two hundred eighty thousand, six hundred eighty-nine".