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28004294106 = 23417293111311
BaseRepresentation
bin11010000101001011…
…111001110111011010
32200021200000112120000
4122011023321313122
5424323044402411
620510501113430
72010654400215
oct320513716732
980250015500
1028004294106
111097076a718
1255166b8876
132843a92439
1414d938a77c
15add813956
hex6852f9dda

28004294106 has 160 divisors (see below), whose sum is σ = 70956103680. Its totient is φ = 8208345600.

The previous prime is 28004294053. The next prime is 28004294107. The reversal of 28004294106 is 60149240082.

It is not an unprimeable number, because it can be changed into a prime (28004294107) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2470191 + ... + 2481501.

It is an arithmetic number, because the mean of its divisors is an integer number (443475648).

Almost surely, 228004294106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28004294106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35478051840).

28004294106 is an abundant number, since it is smaller than the sum of its proper divisors (42951809574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28004294106 is a wasteful number, since it uses less digits than its factorization.

28004294106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11402 (or 11393 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 28004294106 in words is "twenty-eight billion, four million, two hundred ninety-four thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 27 29 31 34 51 54 58 62 81 87 93 102 153 162 174 186 261 279 306 459 493 522 527 558 783 837 899 918 986 1054 1377 1479 1566 1581 1674 1798 2349 2511 2697 2754 2958 3162 4437 4698 4743 5022 5394 8091 8874 9486 11311 13311 14229 15283 16182 22622 24273 26622 28458 30566 33933 39933 42687 45849 48546 67866 72819 79866 85374 91698 101799 137547 145638 192287 203598 275094 305397 328019 350641 384574 412641 576861 610794 656038 701282 825282 916191 984057 1051923 1153722 1237923 1730583 1832382 1968114 2103846 2475846 2952171 3155769 3461166 5191749 5576323 5904342 5960897 6311538 8856513 9467307 10168589 10383498 11152646 11921794 15575247 16728969 17713026 17882691 18934614 20337178 26569539 28401921 30505767 31150494 33457938 35765382 50186907 53139078 53648073 56803842 61011534 91517301 100373814 107296146 150560721 160944219 172866013 183034602 274551903 301121442 321888438 345732026 451682163 482832657 518598039 549103806 823655709 903364326 965665314 1037196078 1555794117 1647311418 3111588234 4667382351 9334764702 14002147053 28004294106