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28409801640 = 23351169131147
BaseRepresentation
bin11010011101010110…
…110010101110101000
32201022221001110022120
4122131112302232220
5431140402123030
621015024351240
72024010221013
oct323526625650
981287043276
1028409801640
1111059657510
12560a475520
1328a9ab181c
14153718637a
15b14214010
hex69d5b2ba8

28409801640 has 128 divisors (see below), whose sum is σ = 93115077120. Its totient is φ = 6877036800.

The previous prime is 28409801639. The next prime is 28409801659. The reversal of 28409801640 is 4610890482.

It is a junction number, because it is equal to n+sod(n) for n = 28409801592 and 28409801601.

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 31 ways as a sum of consecutive naturals, for example, 896547 + ... + 927693.

It is an arithmetic number, because the mean of its divisors is an integer number (727461540).

Almost surely, 228409801640 is an apocalyptic number.

28409801640 is a gapful number since it is divisible by the number (20) 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 28409801640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46557538560).

28409801640 is an abundant number, since it is smaller than the sum of its proper divisors (64705275480).

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

28409801640 is a wasteful number, since it uses less digits than its factorization.

28409801640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31863 (or 31859 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 28409801640 in words is "twenty-eight billion, four hundred nine million, eight hundred one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 691 1320 1382 2073 2764 3455 4146 5528 6910 7601 8292 10365 13820 15202 16584 20730 22803 27640 30404 31147 38005 41460 45606 60808 62294 76010 82920 91212 93441 114015 124588 152020 155735 182424 186882 228030 249176 304040 311470 342617 373764 456060 467205 622940 685234 747528 912120 934410 1027851 1245880 1370468 1713085 1868820 2055702 2740936 3426170 3737640 4111404 5139255 6852340 8222808 10278510 13704680 20557020 21522577 41114040 43045154 64567731 86090308 107612885 129135462 172180616 215225770 236748347 258270924 322838655 430451540 473496694 516541848 645677310 710245041 860903080 946993388 1183741735 1291354620 1420490082 1893986776 2367483470 2582709240 2840980164 3551225205 4734966940 5681960328 7102450410 9469933880 14204900820 28409801640