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28644208516 = 22741121572
BaseRepresentation
bin11010101011010100…
…111110111110000100
32201221021010120002201
4122223110332332010
5432130404133031
621054200444244
72032554520000
oct325324767604
981837116081
1028644208516
11111699aa900
125674a79684
132916524911
14155a363700
15b29ab7d61
hex6ab53ef84

28644208516 has 135 divisors (see below), whose sum is σ = 64689982917. Its totient is φ = 11088997920.

The previous prime is 28644208513. The next prime is 28644208591. The reversal of 28644208516 is 61580244682.

The square root of 28644208516 is 169246.

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., 8396056900 + 20248151616 = 91630^2 + 142296^2 .

It is not an unprimeable number, because it can be changed into a prime (28644208511) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 182447110 + ... + 182447266.

Almost surely, 228644208516 is an apocalyptic number.

28644208516 is the 169246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28644208516

28644208516 is an abundant number, since it is smaller than the sum of its proper divisors (36045774401).

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

28644208516 is an equidigital number, since it uses as much as digits as its factorization.

28644208516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 28644208516 in words is "twenty-eight billion, six hundred forty-four million, two hundred eight thousand, five hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 157 196 242 308 314 343 484 539 628 686 847 1078 1099 1372 1694 1727 2156 2198 2401 3388 3454 3773 4396 4802 5929 6908 7546 7693 9604 11858 12089 15092 15386 18997 23716 24178 24649 26411 30772 37994 41503 48356 49298 52822 53851 75988 83006 84623 98596 105644 107702 132979 166012 169246 172543 215404 265958 271139 290521 338492 345086 376957 531916 542278 581042 592361 690172 753914 930853 1084556 1162084 1184722 1207801 1507828 1861706 1897973 2369444 2415602 2982529 3723412 3795946 4146527 4831204 5965058 6515971 7591892 8293054 8454607 11930116 13031942 13285811 16586108 16909214 20877703 26063884 26571622 33818428 41755406 45611797 53143244 59182249 83510812 91223594 93000677 118364498 146143921 182447188 186001354 236728996 292287842 372002708 584575684 651004739 1023007447 1302009478 2046014894 2604018956 4092029788 7161052129 14322104258 28644208516