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5728874240 = 28541173631
BaseRepresentation
bin1010101010111011…
…11010111100000000
3112210020212222001102
411111131322330000
543213042433430
62344245353532
7261652425155
oct52535727400
915706788042
105728874240
11247a889011
12113a7088a8
13703b6a71b
143c4bd422c
15237e2e345
hex15577af00

5728874240 has 144 divisors (see below), whose sum is σ = 14160799296. Its totient is φ = 2219212800.

The previous prime is 5728874213. The next prime is 5728874279. The reversal of 5728874240 is 424788275.

It is a happy number.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9078725 + ... + 9079355.

It is an arithmetic number, because the mean of its divisors is an integer number (98338884).

Almost surely, 25728874240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5728874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080399648).

5728874240 is an abundant number, since it is smaller than the sum of its proper divisors (8431925056).

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

5728874240 is a wasteful number, since it uses less digits than its factorization.

5728874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 47.

The square root of 5728874240 is about 75689.3271208035. The cubic root of 5728874240 is about 1789.3271963521.

The spelling of 5728874240 in words is "five billion, seven hundred twenty-eight million, eight hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 173 205 256 320 328 346 410 631 640 656 692 820 865 1262 1280 1312 1384 1640 1730 2524 2624 2768 3155 3280 3460 5048 5248 5536 6310 6560 6920 7093 10096 10496 11072 12620 13120 13840 14186 20192 22144 25240 25871 26240 27680 28372 35465 40384 44288 50480 51742 52480 55360 56744 70930 80768 100960 103484 109163 110720 113488 129355 141860 161536 201920 206968 218326 221440 226976 258710 283720 403840 413936 436652 453952 517420 545815 567440 807680 827872 873304 907904 1034840 1091630 1134880 1655744 1746608 1815808 2069680 2183260 2269760 3311488 3493216 4139360 4366520 4475683 4539520 6622976 6986432 8278720 8733040 8951366 9079040 13972864 16557440 17466080 17902732 22378415 27945728 33114880 34932160 35805464 44756830 69864320 71610928 89513660 139728640 143221856 179027320 286443712 358054640 572887424 716109280 1145774848 1432218560 2864437120 5728874240