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5728759296 = 29313229761
BaseRepresentation
bin1010101010111010…
…11110111000000000
3112210020200010101020
411111131132320000
543213030244141
62344243105440
7261651436101
oct52535367000
915706603336
105728759296
11247a80a717
12113a672280
13703b2a300
143c4ba43a8
15237e0a266
hex15575ee00

5728759296 has 240 divisors, whose sum is σ = 17118390960. Its totient is φ = 1699676160.

The previous prime is 5728759291. The next prime is 5728759313. The reversal of 5728759296 is 6929578275.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5728759291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7527556 + ... + 7528316.

It is an arithmetic number, because the mean of its divisors is an integer number (71326629).

Almost surely, 25728759296 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 5728759296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8559195480).

5728759296 is an abundant number, since it is smaller than the sum of its proper divisors (11389631664).

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

5728759296 is a wasteful number, since it uses less digits than its factorization.

5728759296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 808 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 60.

The square root of 5728759296 is about 75688.5678025420. The cubic root of 5728759296 is about 1789.3152292656.

The spelling of 5728759296 in words is "five billion, seven hundred twenty-eight million, seven hundred fifty-nine thousand, two hundred ninety-six".