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28276440336 = 243101732
BaseRepresentation
bin11010010101011010…
…000011110100010000
32200222122010000000000
4122111122003310100
5430402232042321
620553502130000
72020500530364
oct322532036420
980878100000
1028276440336
1110aa034a161
125591880900
13288828a101
14152358d2a4
15b0766e826
hex695683d10

28276440336 has 165 divisors, whose sum is σ = 82655703589. Its totient is φ = 9370997568.

The previous prime is 28276440317. The next prime is 28276440337. The reversal of 28276440336 is 63304467282.

The square root of 28276440336 is 168156.

It is a perfect power (a square), and thus also a powerful number.

28276440336 is a `hidden beast` number, since 2 + 8 + 276 + 4 + 40 + 336 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25721744400 + 2554695936 = 160380^2 + 50544^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 28276440291 and 28276440300.

It is not an unprimeable number, because it can be changed into a prime (28276440337) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 163447546 + ... + 163447718.

Almost surely, 228276440336 is an apocalyptic number.

28276440336 is the 168156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28276440336

28276440336 is an abundant number, since it is smaller than the sum of its proper divisors (54379263253).

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

28276440336 is an frugal number, since it uses more digits than its factorization.

28276440336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 28276440336 in words is "twenty-eight billion, two hundred seventy-six million, four hundred forty thousand, three hundred thirty-six".