35252253728 has 48 divisors (see below), whose sum is σ = 73617960024. Its totient is φ = 16559370240.

The previous prime is 35252253721. The next prime is 35252253731. The reversal of 35252253728 is 82735225253.

It can be written as a sum of positive squares in 4 ways, for example, as 30839574544 + 4412679184 = 175612^2 + 66428^2 .

It is not an unprimeable number, because it can be changed into a prime (35252253721) 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 7 ways as a sum of consecutive naturals, for example, 244838 + ... + 361178.

Almost surely, 2^35252253728 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 35252253728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36808980012).

35252253728 is an abundant number, since it is smaller than the sum of its proper divisors (38365706296).

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

35252253728 is a wasteful number, since it uses less digits than its factorization.

35252253728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116925 (or 116917 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 44.

The spelling of 35252253728 in words is "thirty-five billion, two hundred fifty-two million, two hundred fifty-three thousand, seven hundred twenty-eight".