Search a number
-
+
28405765368 = 23331091206497
BaseRepresentation
bin11010011101000111…
…011001010011111000
32201022122110101121000
4122131013121103320
5431133333442433
621014402045000
72023631010321
oct323507312370
981278411530
1028405765368
111105734aa52
125609049760
1328a8cca5b6
141536815448
15b13bb8113
hex69d1d94f8

28405765368 has 64 divisors (see below), whose sum is σ = 79628868000. Its totient is φ = 9381712896.

The previous prime is 28405765363. The next prime is 28405765397. The reversal of 28405765368 is 86356750482.

28405765368 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 576 + 5 + 3 + 68 = 666.

It is a super-2 number, since 2×284057653682 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28405765363) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 579705 + ... + 626792.

Almost surely, 228405765368 is an apocalyptic number.

It is an amenable number.

28405765368 is an abundant number, since it is smaller than the sum of its proper divisors (51223102632).

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

28405765368 is a wasteful number, since it uses less digits than its factorization.

28405765368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206621 (or 1206611 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 28405765368 in words is "twenty-eight billion, four hundred five million, seven hundred sixty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 109 216 218 327 436 654 872 981 1308 1962 2616 2943 3924 5886 7848 11772 23544 1206497 2412994 3619491 4825988 7238982 9651976 10858473 14477964 21716946 28955928 32575419 43433892 65150838 86867784 130301676 131508173 260603352 263016346 394524519 526032692 789049038 1052065384 1183573557 1578098076 2367147114 3156196152 3550720671 4734294228 7101441342 9468588456 14202882684 28405765368