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28639049760 = 25325296771013
BaseRepresentation
bin11010101011000001…
…010011100000100000
32201220220102110121200
4122223001103200200
5432123044043020
621053454121200
72032462622616
oct325301234040
981826373550
1028639049760
1111166aa6a72
1256731b0200
1329154397b9
1415597bd6b6
15b293e9590
hex6ab053820

28639049760 has 288 divisors, whose sum is σ = 101350070640. Its totient is φ = 7355572224.

The previous prime is 28639049741. The next prime is 28639049767. The reversal of 28639049760 is 6794093682.

It is a happy number.

28639049760 is a `hidden beast` number, since 2 + 8 + 6 + 3 + 90 + 497 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12180212496 + 16458837264 = 110364^2 + 128292^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×286390497603 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28639049697 and 28639049706.

It is not an unprimeable number, because it can be changed into a prime (28639049767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28271014 + ... + 28272026.

Almost surely, 228639049760 is an apocalyptic number.

28639049760 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 28639049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50675035320).

28639049760 is an abundant number, since it is smaller than the sum of its proper divisors (72711020880).

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

28639049760 is a wasteful number, since it uses less digits than its factorization.

28639049760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 28639049760 in words is "twenty-eight billion, six hundred thirty-nine million, forty-nine thousand, seven hundred sixty".