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28730702440 = 23511174193683
BaseRepresentation
bin11010110000011110…
…111011101001101000
32202011021212220110101
4122300132323221220
5432320024434230
621110530355144
72034654640606
oct326036735150
982137786411
1028730702440
1111203806a90
125699a2bab4
13292b419a5b
141567a3a876
15b324a0aca
hex6b07bba68

28730702440 has 128 divisors (see below), whose sum is σ = 76491112320. Its totient is φ = 9593036800.

The previous prime is 28730702419. The next prime is 28730702459. The reversal of 28730702440 is 4420703782.

It is a self number, because there is not a number n which added to its sum of digits gives 28730702440.

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, 259839 + ... + 353521.

It is an arithmetic number, because the mean of its divisors is an integer number (597586815).

Almost surely, 228730702440 is an apocalyptic number.

28730702440 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 28730702440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38245556160).

28730702440 is an abundant number, since it is smaller than the sum of its proper divisors (47760409880).

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

28730702440 is a wasteful number, since it uses less digits than its factorization.

28730702440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93763 (or 93759 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The spelling of 28730702440 in words is "twenty-eight billion, seven hundred thirty million, seven hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 41 44 55 68 82 85 88 110 136 164 170 187 205 220 328 340 374 410 440 451 680 697 748 820 902 935 1394 1496 1640 1804 1870 2255 2788 3485 3608 3740 4510 5576 6970 7480 7667 9020 13940 15334 18040 27880 30668 38335 61336 76670 93683 153340 187366 306680 374732 468415 749464 936830 1030513 1592611 1873660 2061026 3185222 3747320 3841003 4122052 5152565 6370444 7682006 7963055 8244104 10305130 12740888 15364012 15926110 17518721 19205015 20610260 30728024 31852220 35037442 38410030 41220520 42251033 63704440 65297051 70074884 76820060 84502066 87593605 130594102 140149768 153640120 169004132 175187210 211255165 261188204 326485255 338008264 350374420 422510330 522376408 652970510 700748840 718267561 845020660 1305941020 1436535122 1690041320 2611882040 2873070244 3591337805 5746140488 7182675610 14365351220 28730702440