38201128 has 64 divisors (see below), whose sum is σ = 85173120. Its totient is φ = 15724800.

The previous prime is 38201123. The next prime is 38201171. The reversal of 38201128 is 82110283.

It is not an unprimeable number, because it can be changed into a prime (38201123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180943 + ... + 181153.

It is an arithmetic number, because the mean of its divisors is an integer number (1330830).

Almost surely, 2^38201128 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 38201128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42586560).

38201128 is an abundant number, since it is smaller than the sum of its proper divisors (46971992).

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

38201128 is a wasteful number, since it uses less digits than its factorization.

38201128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 38201128 is about 6180.7061085284. The cubic root of 38201128 is about 336.7896441017.

The spelling of 38201128 in words is "thirty-eight million, two hundred one thousand, one hundred twenty-eight".