35235145728 has 144 divisors (see below), whose sum is σ = 101938423860. Its totient is φ = 11725111296.

The previous prime is 35235145721. The next prime is 35235145741. The reversal of 35235145728 is 82754153253.

35235145728 is a `hidden beast` number, since 3 + 5 + 23 + 51 + 4 + 572 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34578146304 + 656999424 = 185952^2 + 25632^2 .

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 (35235145721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14246700 + ... + 14249172.

Almost surely, 2^35235145728 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 35235145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50969211930).

35235145728 is an abundant number, since it is smaller than the sum of its proper divisors (66703278132).

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

35235145728 is a wasteful number, since it uses less digits than its factorization.

35235145728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3251 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 35235145728 in words is "thirty-five billion, two hundred thirty-five million, one hundred forty-five thousand, seven hundred twenty-eight".