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28514066188872 = 233111075711767809
BaseRepresentation
bin1100111101110111100101…
…10010010100101001001000
310201221220210022002001101210
412132323302302110221020
512214133301421020442
6140351103044413120
76002034066400515
oct636736262245110
9121856708061353
1028514066188872
1190a3825004650
1232462730a71a0
1312bab3226a734
14708133d0630c
15346ab278919c
hex19eef2c94a48

28514066188872 has 128 divisors (see below), whose sum is σ = 78629926003200. Its totient is φ = 8544876748800.

The previous prime is 28514066188871. The next prime is 28514066188961. The reversal of 28514066188872 is 27888166041582.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (28514066188871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15245704 + ... + 17013512.

It is an arithmetic number, because the mean of its divisors is an integer number (614296296900).

Almost surely, 228514066188872 is an apocalyptic number.

28514066188872 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 28514066188872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39314963001600).

28514066188872 is an abundant number, since it is smaller than the sum of its proper divisors (50115859814328).

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

28514066188872 is a wasteful number, since it uses less digits than its factorization.

28514066188872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768507 (or 1768503 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 66.

The spelling of 28514066188872 in words is "twenty-eight trillion, five hundred fourteen billion, sixty-six million, one hundred eighty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 107 132 214 264 321 428 571 642 856 1142 1177 1284 1713 2284 2354 2568 3426 3531 4568 4708 6281 6852 7062 9416 12562 13704 14124 18843 25124 28248 37686 50248 61097 75372 122194 150744 183291 244388 366582 488776 672067 733164 1344134 1466328 1767809 2016201 2688268 3535618 4032402 5303427 5376536 7071236 8064804 10606854 14142472 16129608 19445899 21213708 38891798 42427416 58337697 77783596 116675394 155567192 189155563 233350788 378311126 466701576 567466689 756622252 1009418939 1134933378 1513244504 2018837878 2080711193 2269866756 3028256817 4037675756 4161422386 4539733512 6056513634 6242133579 8075351512 8322844772 11103608329 12113027268 12484267158 16645689544 22207216658 24226054536 24968534316 33310824987 44414433316 49937068632 66621649974 88828866632 108007826473 133243299948 216015652946 266486599896 324023479419 432031305892 648046958838 864062611784 1188086091203 1296093917676 2376172182406 2592187835352 3564258273609 4752344364812 7128516547218 9504688729624 14257033094436 28514066188872