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28128962340 = 2234517363557
BaseRepresentation
bin11010001100100111…
…011110011100100100
32200121100121100020000
4122030213132130210
5430102003243330
620531113141300
72014030143363
oct321447363444
980540540200
1028128962340
1110a2507a816
1255503ba830
13286386211b
14150bb5d7da
15ae973c560
hex68c9de724

28128962340 has 60 divisors (see below), whose sum is σ = 88241601756. Its totient is φ = 7501056192.

The previous prime is 28128962333. The next prime is 28128962377. The reversal of 28128962340 is 4326982182.

28128962340 is a `hidden beast` number, since 2 + 8 + 12 + 8 + 9 + 623 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10630434816 + 17498527524 = 103104^2 + 132282^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8680159 + ... + 8683398.

Almost surely, 228128962340 is an apocalyptic number.

28128962340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28128962340 is an abundant number, since it is smaller than the sum of its proper divisors (60112639416).

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

28128962340 is a wasteful number, since it uses less digits than its factorization.

28128962340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17363578 (or 17363567 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28128962340 in words is "twenty-eight billion, one hundred twenty-eight million, nine hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 17363557 34727114 52090671 69454228 86817785 104181342 156272013 173635570 208362684 260453355 312544026 347271140 468816039 520906710 625088052 781360065 937632078 1041813420 1406448117 1562720130 1875264156 2344080195 2812896234 3125440260 4688160390 5625792468 7032240585 9376320780 14064481170 28128962340