38557933728 has 96 divisors (see below), whose sum is σ = 103878573120. Its totient is φ = 12515543040.

The previous prime is 38557933721. The next prime is 38557933741. The reversal of 38557933728 is 82733975583.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38557933721) 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, 2144038 + ... + 2161946.

It is an arithmetic number, because the mean of its divisors is an integer number (1082068470).

Almost surely, 2^38557933728 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 38557933728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51939286560).

38557933728 is an abundant number, since it is smaller than the sum of its proper divisors (65320639392).

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

38557933728 is a wasteful number, since it uses less digits than its factorization.

38557933728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18510 (or 18502 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 60.

The spelling of 38557933728 in words is "thirty-eight billion, five hundred fifty-seven million, nine hundred thirty-three thousand, seven hundred twenty-eight".