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28234884546 = 23211432233331
BaseRepresentation
bin11010010010111011…
…100010010111000010
32200212201220202011200
4122102323202113002
5430311112301141
620545415322030
72016454362441
oct322273422702
980781822150
1028234884546
1110a79946730
12557b980316
13287c79a39b
14151bc52d58
15b03bb1ab6
hex692ee25c2

28234884546 has 144 divisors (see below), whose sum is σ = 68825663712. Its totient is φ = 8296041600.

The previous prime is 28234884541. The next prime is 28234884569. The reversal of 28234884546 is 64548843282.

28234884546 is a `hidden beast` number, since 2 + 82 + 3 + 488 + 45 + 46 = 666.

It is a super-2 number, since 2×282348845462 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28234884492 and 28234884501.

It is not an unprimeable number, because it can be changed into a prime (28234884541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85301601 + ... + 85301931.

It is an arithmetic number, because the mean of its divisors is an integer number (477955998).

Almost surely, 228234884546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28234884546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34412831856).

28234884546 is an abundant number, since it is smaller than the sum of its proper divisors (40590779166).

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

28234884546 is a wasteful number, since it uses less digits than its factorization.

28234884546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 623 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 28234884546 in words is "twenty-eight billion, two hundred thirty-four million, eight hundred eighty-four thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 233 258 331 387 466 473 662 699 774 946 993 1398 1419 1849 1986 2097 2563 2838 2979 3641 3698 4194 4257 5126 5547 5958 7282 7689 8514 10019 10923 11094 14233 15378 16641 20038 20339 21846 23067 28466 30057 32769 33282 40678 42699 46134 60114 61017 65538 77123 85398 90171 110209 122034 128097 154246 156563 180342 183051 220418 231369 256194 313126 330627 366102 430817 462738 469689 612019 661254 694107 848353 861634 939378 991881 1224038 1292451 1388214 1409067 1696706 1836057 1983762 2545059 2584902 2818134 3316289 3672114 3877353 4738987 5090118 5508171 6632578 6732209 7635177 7754706 9477974 9948867 11016342 13464418 14216961 15270354 19897734 20196627 28433922 29846601 36479179 40393254 42650883 59693202 60589881 72958358 85301766 109437537 121179762 142600427 218875074 285200854 328312611 427801281 656625222 855602562 1283403843 1568604697 2566807686 3137209394 4705814091 9411628182 14117442273 28234884546