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28214515368 = 233213281107273
BaseRepresentation
bin11010010001101101…
…110101011010101000
32200211022120212220200
4122101231311122220
5430240403442433
620543410552200
72016116265204
oct322155653250
980738525820
1028214515368
1110a693a3aa6
125574b98660
1328784b7c10
14151926db04
15b01edb613
hex691b756a8

28214515368 has 96 divisors (see below), whose sum is σ = 82585961640. Its totient is φ = 8650414080.

The previous prime is 28214515361. The next prime is 28214515397. The reversal of 28214515368 is 86351541282.

28214515368 is a `hidden beast` number, since 28 + 214 + 51 + 5 + 368 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13876368804 + 14338146564 = 117798^2 + 119742^2 .

It is a super-2 number, since 2×282145153682 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28214515361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209380 + ... + 316652.

Almost surely, 228214515368 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 28214515368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41292980820).

28214515368 is an abundant number, since it is smaller than the sum of its proper divisors (54371446272).

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

28214515368 is a wasteful number, since it uses less digits than its factorization.

28214515368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107579 (or 107572 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 28214515368 in words is "twenty-eight billion, two hundred fourteen million, five hundred fifteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 281 312 468 562 843 936 1124 1686 2248 2529 3372 3653 5058 6744 7306 10116 10959 14612 20232 21918 29224 32877 43836 65754 87672 107273 131508 214546 263016 321819 429092 643638 858184 965457 1287276 1394549 1930914 2574552 2789098 3861828 4183647 5578196 7723656 8367294 11156392 12550941 16734588 25101882 30143713 33469176 50203764 60287426 90431139 100407528 120574852 180862278 241149704 271293417 361724556 391868269 542586834 723449112 783736538 1085173668 1175604807 1567473076 2170347336 2351209614 3134946152 3526814421 4702419228 7053628842 9404838456 14107257684 28214515368