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28589249133 = 38293137131
BaseRepresentation
bin11010101000000011…
…010101001001101101
32201210102201100000000
4122220003111021231
5432022321433013
621044514454513
72031316415364
oct325003251155
981712640000
1028589249133
1111140982025
12565a594439
132908021083
141552d387db
15b24d5d973
hex6a80d526d

28589249133 has 144 divisors (see below), whose sum is σ = 47387957760. Its totient is φ = 17195068800.

The previous prime is 28589249131. The next prime is 28589249147. The reversal of 28589249133 is 33194298582.

28589249133 is a `hidden beast` number, since 2 + 8 + 589 + 2 + 49 + 13 + 3 = 666.

It is not a de Polignac number, because 28589249133 - 21 = 28589249131 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28589249133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28589249131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 218238478 + ... + 218238608.

It is an arithmetic number, because the mean of its divisors is an integer number (329083040).

Almost surely, 228589249133 is an apocalyptic number.

It is an amenable number.

28589249133 is a deficient number, since it is larger than the sum of its proper divisors (18798708627).

28589249133 is an equidigital number, since it uses as much as digits as its factorization.

28589249133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 231 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 28589249133 in words is "twenty-eight billion, five hundred eighty-nine million, two hundred forty-nine thousand, one hundred thirty-three".

Divisors: 1 3 9 27 29 31 37 81 87 93 111 131 243 261 279 333 393 729 783 837 899 999 1073 1147 1179 2187 2349 2511 2697 2997 3219 3441 3537 3799 4061 4847 6561 7047 7533 8091 8991 9657 10323 10611 11397 12183 14541 21141 22599 24273 26973 28971 30969 31833 33263 34191 36549 43623 63423 67797 72819 80919 86913 92907 95499 99789 102573 109647 117769 130869 140563 150257 190269 203391 218457 242757 260739 278721 286497 299367 307719 328941 353307 392607 421689 450771 655371 782217 836163 859491 898101 923157 986823 1059921 1177821 1265067 1352313 1966113 2346651 2508489 2694303 2769471 2960469 3179763 3533463 3795201 4056939 4357453 5898339 7039953 7525467 8082909 8308413 8881407 9539289 10600389 11385603 12170817 13072359 24248727 24925239 26644221 28617867 31801167 34156809 36512451 39217077 72746181 85853601 102470427 109537353 117651231 218238543 257560803 307411281 328612059 352953693 772682409 922233843 985836177 1058861079 3176583237 9529749711 28589249133