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28662321408 = 283719280607
BaseRepresentation
bin11010101100011010…
…000101000100000000
32201222112012210022120
4122230122011010000
5432200023241113
621100045004240
72033164466160
oct325432050400
981875183276
1028662321408
1111179151336
12567ab53680
13291a1c70c6
14155c91a5a0
15b2b494a23
hex6ac685100

28662321408 has 144 divisors (see below), whose sum is σ = 91770040320. Its totient is φ = 7758194688.

The previous prime is 28662321397. The next prime is 28662321421. The reversal of 28662321408 is 80412326682.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 28662321408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38160 + ... + 242447.

Almost surely, 228662321408 is an apocalyptic number.

28662321408 is a gapful number since it is divisible by the number (28) 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 28662321408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45885020160).

28662321408 is an abundant number, since it is smaller than the sum of its proper divisors (63107718912).

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

28662321408 is a wasteful number, since it uses less digits than its factorization.

28662321408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280652 (or 280638 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 28662321408 in words is "twenty-eight billion, six hundred sixty-two million, three hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1596 1792 1824 2128 2432 2688 3192 3648 4256 4864 5376 6384 7296 8512 12768 14592 17024 25536 34048 51072 102144 280607 561214 841821 1122428 1683642 1964249 2244856 3367284 3928498 4489712 5331533 5892747 6734568 7856996 8979424 10663066 11785494 13469136 15713992 15994599 17958848 21326132 23570988 26938272 31427984 31989198 35917696 37320731 42652264 47141976 53876544 62855968 63978396 71835392 74641462 85304528 94283952 107753088 111962193 125711936 127956792 149282924 170609056 188567904 215506176 223924386 251423872 255913584 298565848 341218112 377135808 447848772 502847744 511827168 597131696 682436224 754271616 895697544 1023654336 1194263392 1364872448 1508543232 1791395088 2047308672 2388526784 3582790176 4094617344 4777053568 7165580352 9554107136 14331160704 28662321408