38029056928 has 144 divisors (see below), whose sum is σ = 81191587680. Its totient is φ = 17524495872.

The previous prime is 38029056917. The next prime is 38029056973. The reversal of 38029056928 is 82965092083.

It is a happy number.

38029056928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109593651 + ... + 109593997.

It is an arithmetic number, because the mean of its divisors is an integer number (563830470).

Almost surely, 2^38029056928 is an apocalyptic number.

38029056928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38029056928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40595793840).

38029056928 is an abundant number, since it is smaller than the sum of its proper divisors (43162530752).

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

38029056928 is a wasteful number, since it uses less digits than its factorization.

38029056928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 38029056928 in words is "thirty-eight billion, twenty-nine million, fifty-six thousand, nine hundred twenty-eight".