Search a number
-
+
28728728617 is a prime number
BaseRepresentation
bin11010110000010111…
…011001110000101001
32202011011011121212211
4122300113121300221
5432314023303432
621110420205121
72034632110201
oct326027316051
982134147784
1028728728617
1111202689026
1256992397a1
13292aba8504
141567685401
15b32210d47
hex6b05d9c29

28728728617 has 2 divisors, whose sum is σ = 28728728618. Its totient is φ = 28728728616.

The previous prime is 28728728603. The next prime is 28728728627. The reversal of 28728728617 is 71682782782.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22217691136 + 6511037481 = 149056^2 + 80691^2 .

It is a cyclic number.

It is not a de Polignac number, because 28728728617 - 223 = 28720340009 is a prime.

It is a super-3 number, since 3×287287286173 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (28728728627) 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 as a sum of consecutive naturals, namely, 14364364308 + 14364364309.

It is an arithmetic number, because the mean of its divisors is an integer number (14364364309).

Almost surely, 228728728617 is an apocalyptic number.

It is an amenable number.

28728728617 is a deficient number, since it is larger than the sum of its proper divisors (1).

28728728617 is an equidigital number, since it uses as much as digits as its factorization.

28728728617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8429568, while the sum is 58.

The spelling of 28728728617 in words is "twenty-eight billion, seven hundred twenty-eight million, seven hundred twenty-eight thousand, six hundred seventeen".