35728482753 has 32 divisors (see below), whose sum is σ = 54380918400. Its totient is φ = 23167021248.

The previous prime is 35728482733. The next prime is 35728482781.

35728482753 is a `hidden beast` number, since 3 + 572 + 8 + 48 + 27 + 5 + 3 = 666.

35728482753 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 35728482753 - 2⁶ = 35728482689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 35728482753.

It is not an unprimeable number, because it can be changed into a prime (35728482703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4234543 + ... + 4242971.

It is an arithmetic number, because the mean of its divisors is an integer number (1699403700).

Almost surely, 2^35728482753 is an apocalyptic number.

It is an amenable number.

35728482753 is a deficient number, since it is larger than the sum of its proper divisors (18652435647).

35728482753 is a wasteful number, since it uses less digits than its factorization.

35728482753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12718 (or 12712 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 35728482753 in words is "thirty-five billion, seven hundred twenty-eight million, four hundred eighty-two thousand, seven hundred fifty-three".