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28021620132 = 223211175996949
BaseRepresentation
bin11010000110001101…
…111111110110100100
32200022212121210101200
4122012031333312210
5424342013321012
620512320322500
72011254561342
oct320615776644
980285553350
1028021620132
111097a523a50
125520473430
13284754a71c
1414db7ba992
15ae00d73dc
hex68637fda4

28021620132 has 144 divisors (see below), whose sum is σ = 81965520000. Its totient is φ = 7977415680.

The previous prime is 28021620119. The next prime is 28021620167. The reversal of 28021620132 is 23102612082.

28021620132 is a `hidden beast` number, since 2 + 8 + 0 + 2 + 1 + 620 + 1 + 32 = 666.

It is a super-2 number, since 2×280216201322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28021620096 and 28021620105.

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, 4028994 + ... + 4035942.

It is an arithmetic number, because the mean of its divisors is an integer number (569205000).

Almost surely, 228021620132 is an apocalyptic number.

28021620132 is a gapful number since it is divisible by the number (22) 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 28021620132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40982760000).

28021620132 is an abundant number, since it is smaller than the sum of its proper divisors (53943899868).

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

28021620132 is a wasteful number, since it uses less digits than its factorization.

28021620132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586 (or 7581 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 28021620132 in words is "twenty-eight billion, twenty-one million, six hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 599 612 748 1122 1198 1683 1797 2244 2396 3366 3594 5391 6589 6732 6949 7188 10183 10782 13178 13898 19767 20366 20847 21564 26356 27796 30549 39534 40732 41694 59301 61098 62541 76439 79068 83388 91647 112013 118133 118602 122196 125082 152878 183294 224026 229317 236266 237204 250164 305756 336039 354399 366588 448052 458634 472532 672078 687951 708798 917268 1008117 1063197 1299463 1344156 1375902 1417596 2016234 2126394 2598926 2751804 3898389 4032468 4162451 4252788 5197852 7796778 8324902 11695167 12487353 15593556 16649804 23390334 24974706 37462059 45786961 46780668 49949412 70761667 74924118 91573922 137360883 141523334 149848236 183147844 212285001 274721766 283046668 412082649 424570002 549443532 636855003 778378337 824165298 849140004 1273710006 1556756674 1648330596 2335135011 2547420012 3113513348 4670270022 7005405033 9340540044 14010810066 28021620132