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28760080536 = 233311210492
BaseRepresentation
bin11010110010001111…
…000000000010011000
32202020100011110122000
4122302033000002120
5432400040034121
621113500201000
72035462436205
oct326217000230
982210143560
1028760080536
1111219352200
1256a7839160
132934534945
14156b8c6cac
15b34d55526
hex6b23c0098

28760080536 has 144 divisors (see below), whose sum is σ = 87895789800. Its totient is φ = 8706867840.

The previous prime is 28760080513. The next prime is 28760080543. The reversal of 28760080536 is 63508006782.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

28760080536 is a `hidden beast` number, since 2 + 8 + 7 + 600 + 8 + 0 + 5 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28760080491 and 28760080500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27416140 + ... + 27417188.

Almost surely, 228760080536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28760080536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43947894900).

28760080536 is an abundant number, since it is smaller than the sum of its proper divisors (59135709264).

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

28760080536 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (28760080535) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2135).

28760080536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 28760080536 in words is "twenty-eight billion, seven hundred sixty million, eighty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1049 1089 1188 1452 2098 2178 2376 2904 3147 3267 4196 4356 6294 6534 8392 8712 9441 11539 12588 13068 18882 23078 25176 26136 28323 34617 37764 46156 56646 69234 75528 92312 103851 113292 126929 138468 207702 226584 253858 276936 311553 380787 415404 507716 623106 761574 830808 1015432 1100401 1142361 1246212 1523148 2200802 2284722 2492424 3046296 3301203 3427083 4401604 4569444 6602406 6854166 8803208 9138888 9903609 12104411 13204812 13708332 19807218 24208822 26409624 27416664 29710827 36313233 39614436 48417644 59421654 72626466 79228872 96835288 108939699 118843308 133148521 145252932 217879398 237686616 266297042 290505864 326819097 399445563 435758796 532594084 653638194 798891126 871517592 1065188168 1198336689 1307276388 1597782252 2396673378 2614552776 3195564504 3595010067 4793346756 7190020134 9586693512 14380040268 28760080536