3828233784928 has 96 divisors (see below), whose sum is σ = 8712863470080. Its totient is φ = 1621761039360.

The previous prime is 3828233784919. The next prime is 3828233784929. The reversal of 3828233784928 is 8294873328283.

3828233784928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828233784929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72600493 + ... + 72653203.

It is an arithmetic number, because the mean of its divisors is an integer number (90758994480).

Almost surely, 2^{3828233784928} 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 3828233784928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356431735040).

3828233784928 is an abundant number, since it is smaller than the sum of its proper divisors (4884629685152).

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

3828233784928 is a wasteful number, since it uses less digits than its factorization.

3828233784928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56460 (or 56452 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 67.

The spelling of 3828233784928 in words is "three trillion, eight hundred twenty-eight billion, two hundred thirty-three million, seven hundred eighty-four thousand, nine hundred twenty-eight".