Search a number
-
+
28259535120 = 24352334914669
BaseRepresentation
bin11010010100011001…
…100100100100010000
32200221110022010101220
4122110121210210100
5430333420110440
620552055525040
72020204041135
oct322431444420
980843263356
1028259535120
1110a91853003
125588089780
13288491b51b
14152122c58c
15b05e308d0
hex694664910

28259535120 has 160 divisors (see below), whose sum is σ = 91681632000. Its totient is φ = 7187085312.

The previous prime is 28259535079. The next prime is 28259535173. The reversal of 28259535120 is 2153595282.

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 31 ways as a sum of consecutive naturals, for example, 1919146 + ... + 1933814.

It is an arithmetic number, because the mean of its divisors is an integer number (573010200).

Almost surely, 228259535120 is an apocalyptic number.

28259535120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28259535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45840816000).

28259535120 is an abundant number, since it is smaller than the sum of its proper divisors (63422096880).

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

28259535120 is a wasteful number, since it uses less digits than its factorization.

28259535120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15057 (or 15051 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 28259535120 in words is "twenty-eight billion, two hundred fifty-nine million, five hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 349 368 460 552 690 698 920 1047 1104 1380 1396 1745 1840 2094 2760 2792 3490 4188 5235 5520 5584 6980 8027 8376 10470 13960 14669 16054 16752 20940 24081 27920 29338 32108 40135 41880 44007 48162 58676 64216 73345 80270 83760 88014 96324 117352 120405 128432 146690 160540 176028 192648 220035 234704 240810 293380 321080 337387 352056 385296 440070 481620 586760 642160 674774 704112 880140 963240 1012161 1173520 1349548 1686935 1760280 1926480 2024322 2699096 3373870 3520560 4048644 5060805 5119481 5398192 6747740 8097288 10121610 10238962 13495480 15358443 16194576 20243220 20477924 25597405 26990960 30716886 40486440 40955848 51194810 61433772 76792215 80972880 81911696 102389620 117748063 122867544 153584430 204779240 235496126 245735088 307168860 353244189 409558480 470992252 588740315 614337720 706488378 941984504 1177480630 1228675440 1412976756 1766220945 1883969008 2354961260 2825953512 3532441890 4709922520 5651907024 7064883780 9419845040 14129767560 28259535120