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28714148928 = 2632172932409
BaseRepresentation
bin11010101111011111…
…110010010001000000
32202010010201220022100
4122233133302101000
5432301310231203
621105135510400
72034364144623
oct325737622100
982103656270
1028714148928
11111a54300a3
125694388400
132927b7228a
14156576bdba
15b30cd0ea3
hex6af7f2440

28714148928 has 84 divisors (see below), whose sum is σ = 87145360380. Its totient is φ = 9008357376.

The previous prime is 28714148927. The next prime is 28714148951. The reversal of 28714148928 is 82984141782.

It can be written as a sum of positive squares in 2 ways, for example, as 14474977344 + 14239171584 = 120312^2 + 119328^2 .

It is not an unprimeable number, because it can be changed into a prime (28714148927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1456413 + ... + 1475996.

Almost surely, 228714148928 is an apocalyptic number.

It is an amenable number.

28714148928 is an abundant number, since it is smaller than the sum of its proper divisors (58431211452).

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

28714148928 is a wasteful number, since it uses less digits than its factorization.

28714148928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932444 (or 2932431 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 28714148928 in words is "twenty-eight billion, seven hundred fourteen million, one hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 2932409 5864818 8797227 11729636 17594454 23459272 26391681 35188908 46918544 49850953 52783362 70377816 93837088 99701906 105566724 140755632 149552859 187674176 199403812 211133448 281511264 299105718 398807624 422266896 448658577 563022528 598211436 797615248 844533792 897317154 1196422872 1595230496 1689067584 1794634308 2392845744 3190460992 3589268616 4785691488 7178537232 9571382976 14357074464 28714148928