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5728151520 = 253557131619
BaseRepresentation
bin1010101010110110…
…01010011111100000
3112210012112020200000
411111123022133200
543212401322040
62344222100000
7261643325130
oct52533123740
915705466600
105728151520
11247a435023
12113a41a600
13703976790
143c4a86ac0
15237d3a130
hex1556ca7e0

5728151520 has 576 divisors, whose sum is σ = 24964692480. Its totient is φ = 1207830528.

The previous prime is 5728151477. The next prime is 5728151531. The reversal of 5728151520 is 251518275.

5728151520 is a `hidden beast` number, since 5 + 7 + 2 + 81 + 51 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3537271 + ... + 3538889.

It is an arithmetic number, because the mean of its divisors is an integer number (43341480).

Almost surely, 25728151520 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 5728151520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482346240).

5728151520 is an abundant number, since it is smaller than the sum of its proper divisors (19236540960).

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

5728151520 is a wasteful number, since it uses less digits than its factorization.

5728151520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The square root of 5728151520 is about 75684.5527171827. The cubic root of 5728151520 is about 1789.2519496351.

Adding to 5728151520 its reverse (251518275), we get a palindrome (5979669795).

It can be divided in two parts, 57281 and 51520, that added together give a palindrome (108801).

The spelling of 5728151520 in words is "five billion, seven hundred twenty-eight million, one hundred fifty-one thousand, five hundred twenty".