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28135316736 = 283319214237
BaseRepresentation
bin11010001100111111…
…101101110100000000
32200121210120011211000
4122030333231310000
5430110120113421
620531501252000
72014135150332
oct321477556400
980553504730
1028135316736
1110a2871a98a
125552564000
132864c78517
14150c935452
15aea095226
hex68cfedd00

28135316736 has 144 divisors (see below), whose sum is σ = 87580494400. Its totient is φ = 8884795392.

The previous prime is 28135316719. The next prime is 28135316801. The reversal of 28135316736 is 63761353182.

28135316736 is a `hidden beast` number, since 2 + 81 + 3 + 531 + 6 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 28135316691 and 28135316700.

It is a congruent number.

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, 24210 + ... + 238446.

Almost surely, 228135316736 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 28135316736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43790247200).

28135316736 is an abundant number, since it is smaller than the sum of its proper divisors (59445177664).

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

28135316736 is a wasteful number, since it uses less digits than its factorization.

28135316736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214281 (or 214261 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 28135316736 in words is "twenty-eight billion, one hundred thirty-five million, three hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 4104 4864 5472 6912 7296 8208 10944 14592 16416 21888 32832 43776 65664 131328 214237 428474 642711 856948 1285422 1713896 1928133 2570844 3427792 3856266 4070503 5141688 5784399 6855584 7712532 8141006 10283376 11568798 12211509 13711168 15425064 16282012 20566752 23137596 24423018 27422336 30850128 32564024 36634527 41133504 46275192 48846036 54844672 61700256 65128048 73269054 82267008 92550384 97692072 109903581 123400512 130256096 146538108 164534016 185100768 195384144 219807162 246801024 260512192 293076216 370201536 390768288 439614324 493602048 521024384 586152432 740403072 781536576 879228648 1042048768 1172304864 1480806144 1563073152 1758457296 2344609728 3126146304 3516914592 4689219456 7033829184 9378438912 14067658368 28135316736