Search a number
-
+
28218265240 = 23511892712659
BaseRepresentation
bin11010010001111100…
…001000111010011000
32200211120122101202211
4122101330020322120
5430242333441430
620544023204504
72016163203604
oct322174107230
980746571684
1028218265240
1110a70525370
1255762a6734
1328791cb989
141519968504
15b024cc72a
hex691f08e98

28218265240 has 128 divisors (see below), whose sum is σ = 70326144000. Its totient is φ = 10104652800.

The previous prime is 28218265237. The next prime is 28218265259. The reversal of 28218265240 is 4256281282.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 28218265193 and 28218265202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10611031 + ... + 10613689.

It is an arithmetic number, because the mean of its divisors is an integer number (549423000).

Almost surely, 228218265240 is an apocalyptic number.

28218265240 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 28218265240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35163072000).

28218265240 is an abundant number, since it is smaller than the sum of its proper divisors (42107878760).

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

28218265240 is a wasteful number, since it uses less digits than its factorization.

28218265240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 28218265240 in words is "twenty-eight billion, two hundred eighteen million, two hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 110 178 220 271 356 440 445 542 712 890 979 1084 1355 1780 1958 2168 2659 2710 2981 3560 3916 4895 5318 5420 5962 7832 9790 10636 10840 11924 13295 14905 19580 21272 23848 24119 26590 29249 29810 39160 48238 53180 58498 59620 96476 106360 116996 119240 120595 146245 192952 233992 236651 241190 265309 292490 473302 482380 530618 584980 720589 946604 964760 1061236 1169960 1183255 1326545 1441178 1893208 2122472 2366510 2603161 2653090 2882356 3602945 4733020 5206322 5306180 5764712 7205890 7926479 9466040 10412644 10612360 13015805 14411780 15852958 20825288 26031610 28823560 31705916 39632395 52063220 63411832 64132421 79264790 104126440 128264842 158529580 256529684 317059160 320662105 513059368 641324210 705456631 1282648420 1410913262 2565296840 2821826524 3527283155 5643653048 7054566310 14109132620 28218265240