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5728806540 = 2233517236709
BaseRepresentation
bin1010101010111011…
…01010011010001100
3112210020202112012000
411111131222122030
543213033302130
62344244112300
7261652023612
oct52535523214
915706675160
105728806540
11247a842166
12113a695690
13703b45972
143c4bb76b2
15237e19260
hex15576a68c

5728806540 has 144 divisors (see below), whose sum is σ = 18933549600. Its totient is φ = 1437778944.

The previous prime is 5728806529. The next prime is 5728806553. The reversal of 5728806540 is 456088275.

5728806540 is a `hidden beast` number, since 5 + 7 + 28 + 80 + 6 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137706 + ... + 174414.

Almost surely, 25728806540 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 5728806540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9466774800).

5728806540 is an abundant number, since it is smaller than the sum of its proper divisors (13204743060).

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

5728806540 is a wasteful number, since it uses less digits than its factorization.

5728806540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36761 (or 36736 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5728806540 is about 75688.8798965872. The cubic root of 5728806540 is about 1789.3201479674.

The spelling of 5728806540 in words is "five billion, seven hundred twenty-eight million, eight hundred six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 289 306 340 459 510 540 578 612 765 867 918 1020 1156 1445 1530 1734 1836 2295 2601 2890 3060 3468 4335 4590 5202 5780 7803 8670 9180 10404 13005 15606 17340 26010 31212 36709 39015 52020 73418 78030 110127 146836 156060 183545 220254 330381 367090 440508 550635 624053 660762 734180 991143 1101270 1248106 1321524 1651905 1872159 1982286 2202540 2496212 3120265 3303810 3744318 3964572 4955715 5616477 6240530 6607620 7488636 9360795 9911430 10608901 11232954 12481060 16849431 18721590 19822860 21217802 22465908 28082385 31826703 33698862 37443180 42435604 53044505 56164770 63653406 67397724 84247155 95480109 106089010 112329540 127306812 159133515 168494310 190960218 212178020 286440327 318267030 336988620 381920436 477400545 572880654 636534060 954801090 1145761308 1432201635 1909602180 2864403270 5728806540