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28405451628 = 22342329131441
BaseRepresentation
bin11010011101000110…
…001100101101101100
32201022121212110020000
4122131012030231230
5431133243423003
621014351224300
72023625232531
oct323506145554
981277773200
1028405451628
1111057156264
125608b18090
1328a8c1a858
141536772d88
15b13b551a3
hex69d18cb6c

28405451628 has 120 divisors (see below), whose sum is σ = 80158589280. Its totient is φ = 8744440320.

The previous prime is 28405451609. The next prime is 28405451639. The reversal of 28405451628 is 82615450482.

28405451628 is a `hidden beast` number, since 2 + 8 + 40 + 545 + 1 + 62 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 150388 + ... + 281828.

It is an arithmetic number, because the mean of its divisors is an integer number (667988244).

Almost surely, 228405451628 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 28405451628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40079294640).

28405451628 is an abundant number, since it is smaller than the sum of its proper divisors (51753137652).

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

28405451628 is a wasteful number, since it uses less digits than its factorization.

28405451628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131509 (or 131498 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 28405451628 in words is "twenty-eight billion, four hundred five million, four hundred fifty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 29 36 46 54 58 69 81 87 92 108 116 138 162 174 207 261 276 324 348 414 522 621 667 783 828 1044 1242 1334 1566 1863 2001 2349 2484 2668 3132 3726 4002 4698 6003 7452 8004 9396 12006 18009 24012 36018 54027 72036 108054 131441 216108 262882 394323 525764 788646 1182969 1577292 2365938 3023143 3548907 3811789 4731876 6046286 7097814 7623578 9069429 10646721 11435367 12092572 14195628 15247156 18138858 21293442 22870734 27208287 34306101 36277716 42586884 45741468 54416574 68612202 81624861 87671147 102918303 108833148 137224404 163249722 175342294 205836606 244874583 263013441 308754909 326499444 350684588 411673212 489749166 526026882 617509818 789040323 979498332 1052053764 1235019636 1578080646 2367120969 3156161292 4734241938 7101362907 9468483876 14202725814 28405451628