38638128 has 40 divisors (see below), whose sum is σ = 100761408. Its totient is φ = 12757312.

The previous prime is 38638087. The next prime is 38638133. The reversal of 38638128 is 82183683.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1375 + ... + 8897.

Almost surely, 2^38638128 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 38638128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50380704).

38638128 is an abundant number, since it is smaller than the sum of its proper divisors (62123280).

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

38638128 is a wasteful number, since it uses less digits than its factorization.

38638128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7641 (or 7635 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 38638128 is about 6215.9575288124. The cubic root of 38638128 is about 338.0690077697.

The spelling of 38638128 in words is "thirty-eight million, six hundred thirty-eight thousand, one hundred twenty-eight".