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28429669320 = 233513129714051
BaseRepresentation
bin11010011110100010…
…100101001111001000
32201101022102211122120
4122132202211033020
5431210443404240
621021014251240
72024341126203
oct323642451710
981338384576
1028429669320
1111069897388
125615056b20
1328b0c49950
141539a7893a
15b15d3aad0
hex69e8a53c8

28429669320 has 128 divisors (see below), whose sum is σ = 91927059840. Its totient is φ = 6992179200.

The previous prime is 28429669297. The next prime is 28429669327. The reversal of 28429669320 is 2396692482.

It is a Cunningham number, because it is equal to 1686112-1.

It is not an unprimeable number, because it can be changed into a prime (28429669327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2016295 + ... + 2030345.

It is an arithmetic number, because the mean of its divisors is an integer number (718180155).

Almost surely, 228429669320 is an apocalyptic number.

28429669320 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 28429669320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45963529920).

28429669320 is an abundant number, since it is smaller than the sum of its proper divisors (63497390520).

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

28429669320 is a wasteful number, since it uses less digits than its factorization.

28429669320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15375 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 28429669320 in words is "twenty-eight billion, four hundred twenty-nine million, six hundred sixty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1297 1560 2594 3891 5188 6485 7782 10376 12970 14051 15564 16861 19455 25940 28102 31128 33722 38910 42153 50583 51880 56204 67444 70255 77820 84305 84306 101166 112408 134888 140510 155640 168610 168612 182663 202332 210765 252915 281020 337220 337224 365326 404664 421530 505830 547989 562040 674440 730652 843060 913315 1011660 1095978 1461304 1686120 1826630 2023320 2191956 2739945 3653260 4383912 5479890 7306520 10959780 18224147 21919560 36448294 54672441 72896588 91120735 109344882 145793176 182241470 218689764 236913911 273362205 364482940 437379528 473827822 546724410 710741733 728965880 947655644 1093448820 1184569555 1421483466 1895311288 2186897640 2369139110 2842966932 3553708665 4738278220 5685933864 7107417330 9476556440 14214834660 28429669320