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28852584345 = 36513608897
BaseRepresentation
bin11010110111101111…
…110111111110011001
32202110210020011000000
4122313233313332121
5433042230144340
621131003003213
72040664630464
oct326757677631
982423204000
1028852584345
1111266593732
125712809509
13294a752420
141579cc62db
15b3d028d30
hex6b7bf7f99

28852584345 has 56 divisors (see below), whose sum is σ = 55904143176. Its totient is φ = 14204325888.

The previous prime is 28852584307. The next prime is 28852584367. The reversal of 28852584345 is 54348525882.

28852584345 is a `hidden beast` number, since 2 + 8 + 8 + 52 + 584 + 3 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 576144009 + 28276440336 = 24003^2 + 168156^2 .

It is not a de Polignac number, because 28852584345 - 29 = 28852583833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 28852584291 and 28852584300.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 257064 + ... + 351833.

It is an arithmetic number, because the mean of its divisors is an integer number (998288271).

Almost surely, 228852584345 is an apocalyptic number.

It is an amenable number.

28852584345 is a deficient number, since it is larger than the sum of its proper divisors (27051558831).

28852584345 is an equidigital number, since it uses as much as digits as its factorization.

28852584345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608933 (or 608918 counting only the distinct ones).

The product of its digits is 12288000, while the sum is 54.

The spelling of 28852584345 in words is "twenty-eight billion, eight hundred fifty-two million, five hundred eighty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 243 351 405 585 729 1053 1215 1755 3159 3645 5265 9477 15795 47385 608897 1826691 3044485 5480073 7915661 9133455 16440219 23746983 27400365 39578305 49320657 71240949 82201095 118734915 147961971 213722847 246603285 356204745 443885913 641168541 739809855 1068614235 1923505623 2219429565 3205842705 5770516869 9617528115 28852584345