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5728285440 = 28335165749
BaseRepresentation
bin1010101010110111…
…01011001100000000
3112210012210001101000
411111123223030000
543212420113230
62344225012000
7261644423433
oct52533531400
915705701330
105728285440
11247a5166a9
12113a484000
137039c2717
143c4abd81a
15237d64b60
hex1556eb300

5728285440 has 144 divisors (see below), whose sum is σ = 20327580000. Its totient is φ = 1527533568.

The previous prime is 5728285429. The next prime is 5728285441. The reversal of 5728285440 is 445828275.

5728285440 is a `hidden beast` number, since 57 + 2 + 82 + 85 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (5728285441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48315 + ... + 117434.

It is an arithmetic number, because the mean of its divisors is an integer number (141163750).

Almost surely, 25728285440 is an apocalyptic number.

It is an amenable number.

5728285440 is an abundant number, since it is smaller than the sum of its proper divisors (14599294560).

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

5728285440 is a wasteful number, since it uses less digits than its factorization.

5728285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165779 (or 165759 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 5728285440 is about 75685.4374368015. The cubic root of 5728285440 is about 1789.2658933278.

The spelling of 5728285440 in words is "five billion, seven hundred twenty-eight million, two hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 165749 331498 497247 662996 828745 994494 1325992 1491741 1657490 1988988 2486235 2651984 2983482 3314980 3977976 4475223 4972470 5303968 5966964 6629960 7458705 7955952 8950446 9944940 10607936 11933928 13259920 14917410 15911904 17900892 19889880 21215872 22376115 23867856 26519840 29834820 31823808 35801784 39779760 42431744 44752230 47735712 53039680 59669640 63647616 71603568 79559520 89504460 95471424 106079360 119339280 127295232 143207136 159119040 179008920 190942848 212158720 238678560 286414272 318238080 358017840 381885696 477357120 572828544 636476160 716035680 954714240 1145657088 1432071360 1909428480 2864142720 5728285440