5246281728 has 144 divisors (see below), whose sum is σ = 15212433600. Its totient is φ = 1741824000.

The previous prime is 5246281727. The next prime is 5246281757. The reversal of 5246281728 is 8271826425.

5246281728 is a `hidden beast` number, since 5 + 2 + 4 + 628 + 17 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5246281723) 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 11 ways as a sum of consecutive naturals, for example, 6985353 + ... + 6986103.

It is an arithmetic number, because the mean of its divisors is an integer number (105641900).

Almost surely, 2^5246281728 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 5246281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7606216800).

5246281728 is an abundant number, since it is smaller than the sum of its proper divisors (9966151872).

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

5246281728 is a wasteful number, since it uses less digits than its factorization.

5246281728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1135 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 5246281728 is about 72431.2206717518. The cubic root of 5246281728 is about 1737.6029140291.

The spelling of 5246281728 in words is "five billion, two hundred forty-six million, two hundred eighty-one thousand, seven hundred twenty-eight".