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28445071760 = 2457193186239
BaseRepresentation
bin11010011111011101…
…010101100110010000
32201102101102100211022
4122133131111212100
5431223414244020
621022324335012
72024616056240
oct323735254620
981371370738
1028445071760
1111077557476
12561a244468
1328b41b0511
14153bb27b20
15b1737e625
hex69f755990

28445071760 has 160 divisors (see below), whose sum is σ = 82128076800. Its totient is φ = 8941155840.

The previous prime is 28445071691. The next prime is 28445071777. The reversal of 28445071760 is 6717054482.

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, 286721 + ... + 372959.

It is an arithmetic number, because the mean of its divisors is an integer number (513300480).

Almost surely, 228445071760 is an apocalyptic number.

28445071760 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 28445071760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41064038400).

28445071760 is an abundant number, since it is smaller than the sum of its proper divisors (53683005040).

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

28445071760 is a wasteful number, since it uses less digits than its factorization.

28445071760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86309 (or 86303 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

The spelling of 28445071760 in words is "twenty-eight billion, four hundred forty-five million, seventy-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 31 35 38 40 56 62 70 76 80 95 112 124 133 140 152 155 190 217 248 266 280 304 310 380 434 496 532 560 589 620 665 760 868 1064 1085 1178 1240 1330 1520 1736 2128 2170 2356 2480 2660 2945 3472 4123 4340 4712 5320 5890 8246 8680 9424 10640 11780 16492 17360 20615 23560 32984 41230 47120 65968 82460 86239 164920 172478 329840 344956 431195 603673 689912 862390 1207346 1379824 1638541 1724780 2414692 2673409 3018365 3277082 3449560 4829384 5346818 6036730 6554164 6899120 8192705 9658768 10693636 11469787 12073460 13108328 13367045 16385410 18713863 21387272 22939574 24146920 26216656 26734090 32770820 37427726 42774544 45879148 48293840 50794771 53468180 57348935 65541640 74855452 91758296 93569315 101589542 106936360 114697870 131083280 149710904 183516592 187138630 203179084 213872720 229395740 253973855 299421808 355563397 374277260 406358168 458791480 507947710 711126794 748554520 812716336 917582960 1015895420 1422253588 1497109040 1777816985 2031790840 2844507176 3555633970 4063581680 5689014352 7111267940 14222535880 28445071760