352282749728 has 162 divisors, whose sum is σ = 874383467139. Its totient is φ = 139243732992.

The previous prime is 352282749719. The next prime is 352282749733. The reversal of 352282749728 is 827947282253.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 147772585744 + 204510163984 = 384412^2 + 452228^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=419692.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 305535200 + ... + 305536352.

Almost surely, 2^352282749728 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 352282749728

352282749728 is an abundant number, since it is smaller than the sum of its proper divisors (522100717411).

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

352282749728 is an equidigital number, since it uses as much as digits as its factorization.

352282749728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 1175 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 59.

The spelling of 352282749728 in words is "three hundred fifty-two billion, two hundred eighty-two million, seven hundred forty-nine thousand, seven hundred twenty-eight".