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28171608336 = 24327121972
BaseRepresentation
bin11010001111001010…
…001010000100010000
32200201022211222112100
4122033022022010100
5430143412431321
620535235200400
72015055501624
oct321712120420
980638758470
1028171608336
1110a47158343
125562746100
13286c644141
1415136a1184
15aed363326
hex68f28a110

28171608336 has 135 divisors (see below), whose sum is σ = 80375444773. Its totient is φ = 9211278720.

The previous prime is 28171608307. The next prime is 28171608379. The reversal of 28171608336 is 63380617182.

The square root of 28171608336 is 167844.

It is a perfect power (a square), and thus also a powerful number.

28171608336 is a `hidden beast` number, since 2 + 8 + 1 + 7 + 1 + 608 + 3 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27602499600 + 569108736 = 166140^2 + 23856^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 28171608291 and 28171608300.

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 26 ways as a sum of consecutive naturals, for example, 143002990 + ... + 143003186.

Almost surely, 228171608336 is an apocalyptic number.

28171608336 is the 167844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28171608336

28171608336 is an abundant number, since it is smaller than the sum of its proper divisors (52203836437).

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

28171608336 is an equidigital number, since it uses as much as digits as its factorization.

28171608336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 28171608336 in words is "twenty-eight billion, one hundred seventy-one million, six hundred eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 197 213 284 394 426 568 591 639 788 852 1136 1182 1278 1576 1704 1773 2364 2556 3152 3408 3546 4728 5041 5112 7092 9456 10082 10224 13987 14184 15123 20164 27974 28368 30246 38809 40328 41961 45369 55948 60492 77618 80656 83922 90738 111896 116427 120984 125883 155236 167844 181476 223792 232854 241968 251766 310472 335688 349281 362952 465708 503532 620944 671376 698562 725904 931416 993077 1007064 1397124 1862832 1986154 2014128 2755439 2794248 2979231 3972308 5510878 5588496 5958462 7944616 8266317 8937693 11021756 11916924 15889232 16532634 17875386 22043512 23833848 24798951 33065268 35750772 44087024 47667696 49597902 66130536 71501544 99195804 132261072 143003088 195636169 198391608 391272338 396783216 586908507 782544676 1173817014 1565089352 1760725521 2347634028 3130178704 3521451042 4695268056 7042902084 9390536112 14085804168 28171608336