38285928 has 96 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 12265344.

The previous prime is 38285927. The next prime is 38285939. The reversal of 38285928 is 82958283.

38285928 is a `hidden beast` number, since 38 + 28 + 592 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (38285927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301401 + ... + 301527.

It is an arithmetic number, because the mean of its divisors is an integer number (1123200).

Almost surely, 2^38285928 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 38285928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913600).

38285928 is an abundant number, since it is smaller than the sum of its proper divisors (69541272).

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

38285928 is a wasteful number, since it uses less digits than its factorization.

38285928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 264 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 38285928 is about 6187.5623633221. The cubic root of 38285928 is about 337.0386651536.

The spelling of 38285928 in words is "thirty-eight million, two hundred eighty-five thousand, nine hundred twenty-eight".