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28272205656 = 23341921110883
BaseRepresentation
bin11010010101001001…
…111001111101011000
32200222100010212010000
4122111021321331120
5430400141040111
620553231253000
72020416532362
oct322511717530
980870125100
1028272205656
1110a98a17622
12559037a160
132887436796
141522ba9d32
15b070d4c56
hex695279f58

28272205656 has 160 divisors (see below), whose sum is σ = 83758910400. Its totient is φ = 8884935360.

The previous prime is 28272205649. The next prime is 28272205669. The reversal of 28272205656 is 65650227282.

28272205656 is a `hidden beast` number, since 2 + 82 + 7 + 2 + 2 + 0 + 565 + 6 = 666.

It is a super-2 number, since 2×282722056562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2592391 + ... + 2603273.

It is an arithmetic number, because the mean of its divisors is an integer number (523493190).

Almost surely, 228272205656 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 28272205656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41879455200).

28272205656 is an abundant number, since it is smaller than the sum of its proper divisors (55486704744).

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

28272205656 is a wasteful number, since it uses less digits than its factorization.

28272205656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11131 (or 11118 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 28272205656 in words is "twenty-eight billion, two hundred seventy-two million, two hundred five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 211 216 228 324 342 422 456 513 633 648 684 844 1026 1266 1368 1539 1688 1899 2052 2532 3078 3798 4009 4104 5064 5697 6156 7596 8018 10883 11394 12027 12312 15192 16036 17091 21766 22788 24054 32072 32649 34182 36081 43532 45576 48108 65298 68364 72162 87064 96216 97947 108243 130596 136728 144324 195894 206777 216486 261192 288648 293841 324729 391788 413554 432972 587682 620331 649458 783576 827108 865944 881523 1175364 1240662 1298916 1654216 1763046 1860993 2296313 2350728 2481324 2597832 3526092 3721986 4592626 4962648 5582979 6888939 7052184 7443972 9185252 11165958 13777878 14887944 16748937 18370504 20666817 22331916 27555756 33497874 41333634 43629947 44663832 55111512 62000451 66995748 82667268 87259894 124000902 130889841 133991496 165334536 174519788 186001353 248001804 261779682 349039576 372002706 392669523 496003608 523559364 744005412 785339046 1047118728 1178008569 1488010824 1570678092 2356017138 3141356184 3534025707 4712034276 7068051414 9424068552 14136102828 28272205656