38896128 has 120 divisors (see below), whose sum is σ = 117456768. Its totient is φ = 12367872.

The previous prime is 38896061. The next prime is 38896129. The reversal of 38896128 is 82169883.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38896129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105801 + ... + 106167.

Almost surely, 2^38896128 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 38896128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58728384).

38896128 is an abundant number, since it is smaller than the sum of its proper divisors (78560640).

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

38896128 is a wasteful number, since it uses less digits than its factorization.

38896128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 395 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 38896128 is about 6236.6760377624. The cubic root of 38896128 is about 338.8198066040.

The spelling of 38896128 in words is "thirty-eight million, eight hundred ninety-six thousand, one hundred twenty-eight".