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28914920634348 = 223271912311259949
BaseRepresentation
bin1101001001100010001111…
…00100101011011111101100
310210101020110112102202020100
412210301013210223133230
512242220224140244343
6141255155310351100
76043014455066310
oct644610744533754
9123336415382210
1028914920634348
119238826984531
1232abaa44bb490
1313198859125c8
1471d6bd767b40
153522241b19d3
hex1a4c4792b7ec

28914920634348 has 144 divisors (see below), whose sum is σ = 84005991014400. Its totient is φ = 8214564758400.

The previous prime is 28914920634317. The next prime is 28914920634421. The reversal of 28914920634348 is 84343602941982.

28914920634348 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 49 + 206 + 343 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111103078 + ... + 111363026.

It is an arithmetic number, because the mean of its divisors is an integer number (583374937600).

Almost surely, 228914920634348 is an apocalyptic number.

28914920634348 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 28914920634348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42002995507200).

28914920634348 is an abundant number, since it is smaller than the sum of its proper divisors (55091070380052).

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

28914920634348 is a wasteful number, since it uses less digits than its factorization.

28914920634348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262468 (or 262463 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 28914920634348 in words is "twenty-eight trillion, nine hundred fourteen billion, nine hundred twenty million, six hundred thirty-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 191 252 382 573 764 1146 1337 1719 2292 2311 2674 3438 4011 4622 5348 6876 6933 8022 9244 12033 13866 16044 16177 20799 24066 27732 32354 41598 48132 48531 64708 83196 97062 145593 194124 259949 291186 441401 519898 582372 779847 882802 1039796 1324203 1559694 1765604 1819643 2339541 2648406 3089807 3119388 3639286 3972609 4679082 5296812 5458929 6179614 7278572 7945218 9269421 9358164 10917858 12359228 15890436 16376787 18538842 21835716 27808263 32753574 37077684 49650259 55616526 65507148 99300518 111233052 148950777 198601036 297901554 347551813 446852331 595803108 600742139 695103626 893704662 1042655439 1201484278 1390207252 1787409324 1802226417 2085310878 2402968556 3127966317 3604452834 4170621756 4205194973 5406679251 6255932634 7208905668 8410389946 10813358502 12511865268 12615584919 16820779892 21626717004 25231169838 37846754757 50462339676 75693509514 114741748549 151387019028 229483497098 344225245647 458966994196 688450491294 803192239843 1032675736941 1376900982588 1606384479686 2065351473882 2409576719529 3212768959372 4130702947764 4819153439058 7228730158587 9638306878116 14457460317174 28914920634348