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28608677881 = 727323312
BaseRepresentation
bin11010101001001101…
…011100011111111001
32201211210021102020021
4122221031130133321
5432042310143011
621050451130441
72031643515100
oct325115343771
981753242207
1028608677881
1111150942143
125664ba3a21
13290c064484
141555755037
15b268ea471
hex6a935c7f9

28608677881 has 27 divisors (see below), whose sum is σ = 33843857103. Its totient is φ = 24112740960.

The previous prime is 28608677849. The next prime is 28608677939. The reversal of 28608677881 is 18877680682.

The square root of 28608677881 is 169141.

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., 16239679225 + 12368998656 = 127435^2 + 111216^2 .

It is not a de Polignac number, because 28608677881 - 25 = 28608677849 is a prime.

It is a super-3 number, since 3×286086778813 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (28608672881) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86430886 + ... + 86431216.

It is an arithmetic number, because the mean of its divisors is an integer number (1253476189).

Almost surely, 228608677881 is an apocalyptic number.

28608677881 is the 169141-st square number.

28608677881 is the 84571-st centered octagonal number.

It is an amenable number.

28608677881 is a deficient number, since it is larger than the sum of its proper divisors (5235179222).

28608677881 is an frugal number, since it uses more digits than its factorization.

28608677881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 61.

The spelling of 28608677881 in words is "twenty-eight billion, six hundred eight million, six hundred seventy-seven thousand, eight hundred eighty-one".

Divisors: 1 7 49 73 331 511 2317 3577 5329 16219 24163 37303 109561 169141 261121 766927 1183987 1763899 5368489 7997953 12347293 55985671 86431051 391899697 583850569 4086953983 28608677881