38435332464828 has 36 divisors (see below), whose sum is σ = 104629516155528. Its totient is φ = 11826256142880.

The previous prime is 38435332464827. The next prime is 38435332464899. The reversal of 38435332464828 is 82846423353483.

38435332464828 is a `hidden beast` number, since 3 + 8 + 43 + 53 + 3 + 2 + 464 + 82 + 8 = 666.

38435332464828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×38435332464828² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38435332464827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41063388918 + ... + 41063389853.

Almost surely, 2^{38435332464828} is an apocalyptic number.

It is an amenable number.

38435332464828 is an abundant number, since it is smaller than the sum of its proper divisors (66194183690700).

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

38435332464828 is a wasteful number, since it uses less digits than its factorization.

38435332464828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82126778794 (or 82126778789 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 63.

The spelling of 38435332464828 in words is "thirty-eight trillion, four hundred thirty-five billion, three hundred thirty-two million, four hundred sixty-four thousand, eight hundred twenty-eight".