38803128 has 128 divisors (see below), whose sum is σ = 121228800. Its totient is φ = 10077696.

The previous prime is 38803123. The next prime is 38803181. The reversal of 38803128 is 82130883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38803123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237975 + ... + 238137.

It is an arithmetic number, because the mean of its divisors is an integer number (947100).

Almost surely, 2^38803128 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 38803128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60614400).

38803128 is an abundant number, since it is smaller than the sum of its proper divisors (82425672).

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

38803128 is a wasteful number, since it uses less digits than its factorization.

38803128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 38803128 is about 6229.2156809666. The cubic root of 38803128 is about 338.5495535776.

The spelling of 38803128 in words is "thirty-eight million, eight hundred three thousand, one hundred twenty-eight".