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5728339584 = 2732111726591
BaseRepresentation
bin1010101010110111…
…11000011010000000
3112210012212210122100
411111123320122000
543212423331314
62344230110400
7261645040332
oct52533703200
915705783570
105728339584
11247a553350
12113a4ab400
13703a11266
143c4ad5452
15237d75c09
hex1556f8680

5728339584 has 192 divisors, whose sum is σ = 19040935680. Its totient is φ = 1633689600.

The previous prime is 5728339577. The next prime is 5728339597. The reversal of 5728339584 is 4859338275.

5728339584 is a `hidden beast` number, since 5 + 7 + 28 + 3 + 39 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 5728339584.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202129 + ... + 228719.

It is an arithmetic number, because the mean of its divisors is an integer number (99171540).

Almost surely, 25728339584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5728339584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9520467840).

5728339584 is an abundant number, since it is smaller than the sum of its proper divisors (13312596096).

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

5728339584 is a wasteful number, since it uses less digits than its factorization.

5728339584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26639 (or 26624 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 5728339584 is about 75685.7951269589. The cubic root of 5728339584 is about 1789.2715307161.

The spelling of 5728339584 in words is "five billion, seven hundred twenty-eight million, three hundred thirty-nine thousand, five hundred eighty-four".