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28025773281 = 34112192892
BaseRepresentation
bin11010000110011101…
…110101110011100001
32200100011102210110000
4122012131311303201
5424344044221111
620512545330213
72011335066552
oct320635656341
980304383400
1028025773281
1110981900300
125521936969
132848372bcc
1414dc17c329
15ae0657c56
hex686775ce1

28025773281 has 135 divisors (see below), whose sum is σ = 49118909763. Its totient is φ = 15910551360.

The previous prime is 28025773261. The next prime is 28025773289. The reversal of 28025773281 is 18237752082.

The square root of 28025773281 is 167409.

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

28025773281 is a `hidden beast` number, since 280 + 25 + 7 + 73 + 281 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5381542881 + 22644230400 = 73359^2 + 150480^2 .

It is not a de Polignac number, because 28025773281 - 29 = 28025772769 is a prime.

It is a super-2 number, since 2×280257732812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28025773289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 314896285 + ... + 314896373.

Almost surely, 228025773281 is an apocalyptic number.

28025773281 is the 167409-th square number.

28025773281 is the 83705-th centered octagonal number.

It is an amenable number.

28025773281 is a deficient number, since it is larger than the sum of its proper divisors (21093136482).

28025773281 is an equidigital number, since it uses as much as digits as its factorization.

28025773281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 28025773281 in words is "twenty-eight billion, twenty-five million, seven hundred seventy-three thousand, two hundred eighty-one".

Divisors: 1 3 9 11 19 27 33 57 81 89 99 121 171 209 267 297 361 363 513 627 801 891 979 1083 1089 1539 1691 1881 2299 2403 2937 3249 3267 3971 5073 5643 6897 7209 7921 8811 9747 9801 10769 11913 15219 16929 18601 20691 23763 26433 29241 32129 32307 35739 43681 45657 55803 62073 71289 79299 87131 96387 96921 107217 131043 136971 150499 167409 186219 204611 213867 261393 289161 290763 321651 353419 393129 451497 502227 613833 641601 784179 867483 872289 958441 1060257 1179387 1354491 1506681 1655489 1841499 2352537 2602449 2859481 2875323 3180771 3538161 3887609 4063473 4966467 5524497 7057611 8578443 8625969 9542313 11662827 12190419 14899401 16573491 18210379 25735329 25877907 28626939 31454291 34988481 44698203 54631137 77205987 77633721 94362873 104965443 134094609 163893411 231617961 283088619 314896329 345997201 491680233 849265857 1037991603 1475040699 2547797571 3113974809 9341924427 28025773281