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28614445440 = 273572129051
BaseRepresentation
bin11010101001100011…
…011100100110000000
32201212012010102211120
4122221203130212000
5432100244223230
621051214512240
72032043526120
oct325143344600
981765112746
1028614445440
1111154121419
125666b05680
132910303729
141556416c80
15b27189310
hex6a98dc980

28614445440 has 128 divisors (see below), whose sum is σ = 104238385920. Its totient is φ = 6540441600.

The previous prime is 28614445427. The next prime is 28614445481. The reversal of 28614445440 is 4454441682.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 28614445392 and 28614445401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051086 + ... + 1077965.

It is an arithmetic number, because the mean of its divisors is an integer number (814362390).

Almost surely, 228614445440 is an apocalyptic number.

28614445440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28614445440 is an abundant number, since it is smaller than the sum of its proper divisors (75623940480).

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

28614445440 is a wasteful number, since it uses less digits than its factorization.

28614445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129080 (or 2129068 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The spelling of 28614445440 in words is "twenty-eight billion, six hundred fourteen million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 2129051 4258102 6387153 8516204 10645255 12774306 14903357 17032408 21290510 25548612 29806714 31935765 34064816 42581020 44710071 51097224 59613428 63871530 68129632 74516785 85162040 89420142 102194448 119226856 127743060 136259264 149033570 170324080 178840284 204388896 223550355 238453712 255486120 272518528 298067140 340648160 357680568 408777792 447100710 476907424 510972240 596134280 681296320 715361136 817555584 894201420 953814848 1021944480 1192268560 1362592640 1430722272 1788402840 1907629696 2043888960 2384537120 2861444544 3576805680 4087777920 4769074240 5722889088 7153611360 9538148480 14307222720 28614445440