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28468300338 = 234229767381
BaseRepresentation
bin11010100000110101…
…111100101000110010
32201111000010111110000
4122200311330220302
5431300341102323
621024514250430
72025320363112
oct324065745062
981430114400
1028468300338
1111089682445
125625b86a16
1328b8c5433a
141540c53042
15b1941be43
hex6a0d7ca32

28468300338 has 40 divisors (see below), whose sum is σ = 64068723180. Its totient is φ = 9447982560.

The previous prime is 28468300321. The next prime is 28468300369. The reversal of 28468300338 is 83300386482.

28468300338 is a `hidden beast` number, since 2 + 8 + 4 + 6 + 8 + 300 + 338 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27863287929 + 605012409 = 166923^2 + 24597^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28468300293 and 28468300302.

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 19 ways as a sum of consecutive naturals, for example, 346593 + ... + 420788.

Almost surely, 228468300338 is an apocalyptic number.

28468300338 is an abundant number, since it is smaller than the sum of its proper divisors (35600422842).

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

28468300338 is a wasteful number, since it uses less digits than its factorization.

28468300338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767624 (or 767615 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 28468300338 in words is "twenty-eight billion, four hundred sixty-eight million, three hundred thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 229 458 687 1374 2061 4122 6183 12366 18549 37098 767381 1534762 2302143 4604286 6906429 13812858 20719287 41438574 62157861 124315722 175730249 351460498 527190747 1054381494 1581572241 3163144482 4744716723 9489433446 14234150169 28468300338