38971228128 has 192 divisors, whose sum is σ = 124770336768. Its totient is φ = 10396753920.

The previous prime is 38971228117. The next prime is 38971228141. The reversal of 38971228128 is 82182217983.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1437418 + ... + 1464278.

It is an arithmetic number, because the mean of its divisors is an integer number (649845504).

Almost surely, 2^38971228128 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 38971228128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62385168384).

38971228128 is an abundant number, since it is smaller than the sum of its proper divisors (85799108640).

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

38971228128 is a wasteful number, since it uses less digits than its factorization.

38971228128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27025 (or 27017 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The spelling of 38971228128 in words is "thirty-eight billion, nine hundred seventy-one million, two hundred twenty-eight thousand, one hundred twenty-eight".