938128 has 20 divisors (see below), whose sum is σ = 1925100. Its totient is φ = 441344.

The previous prime is 938117. The next prime is 938129. The reversal of 938128 is 821839.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 659344 = 528^2 + 812^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 938128.

It is not an unprimeable number, because it can be changed into a prime (938129) by changing a digit.

938128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1453 + ... + 1996.

It is an arithmetic number, because the mean of its divisors is an integer number (96255).

2⁹³⁸¹²⁸ is an apocalyptic number.

It is an amenable number.

938128 is an abundant number, since it is smaller than the sum of its proper divisors (986972).

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

938128 is a wasteful number, since it uses less digits than its factorization.

938128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3468 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The square root of 938128 is about 968.5700800665. The cubic root of 938128 is about 97.8935398125.

It can be divided in two parts, 9381 and 28, that added together give a square (9409 = 97²).

The spelling of 938128 in words is "nine hundred thirty-eight thousand, one hundred twenty-eight".