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28825270344 = 233213113272533
BaseRepresentation
bin11010110110000111…
…101011100001001000
32202101212211110020100
4122312013223201020
5433013232122334
621124145325400
72040213520023
oct326607534110
982355743210
1028825270344
1111252128282
125705636860
132944baabb0
1415764161ba
15b3a930c99
hex6b61eb848

28825270344 has 96 divisors (see below), whose sum is σ = 84818031480. Its totient is φ = 8790792192.

The previous prime is 28825270343. The next prime is 28825270349. The reversal of 28825270344 is 44307252882.

28825270344 is a `hidden beast` number, since 2 + 8 + 82 + 527 + 0 + 3 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21336444900 + 7488825444 = 146070^2 + 86538^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28825270344.

It is not an unprimeable number, because it can be changed into a prime (28825270343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30499 + ... + 242034.

Almost surely, 228825270344 is an apocalyptic number.

28825270344 is a gapful number since it is divisible by the number (24) 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 28825270344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42409015740).

28825270344 is an abundant number, since it is smaller than the sum of its proper divisors (55992761136).

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

28825270344 is a wasteful number, since it uses less digits than its factorization.

28825270344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272671 (or 272664 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 28825270344 in words is "twenty-eight billion, eight hundred twenty-five million, two hundred seventy thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 113 117 156 226 234 312 339 452 468 678 904 936 1017 1356 1469 2034 2712 2938 4068 4407 5876 8136 8814 11752 13221 17628 26442 35256 52884 105768 272533 545066 817599 1090132 1635198 2180264 2452797 3270396 3542929 4905594 6540792 7085858 9811188 10628787 14171716 19622376 21257574 28343432 30796229 31886361 42515148 61592458 63772722 85030296 92388687 123184916 127545444 184777374 246369832 255090888 277166061 369554748 400350977 554332122 739109496 800701954 1108664244 1201052931 1601403908 2217328488 2402105862 3202807816 3603158793 4804211724 7206317586 9608423448 14412635172 28825270344