338728392 has 84 divisors (see below), whose sum is σ = 956205585. Its totient is φ = 112440960.

The previous prime is 338728391. The next prime is 338728441. The reversal of 338728392 is 293827833.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 315630756 + 23097636 = 17766^2 + 4806^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13014.

It is a super-2 number, since 2×338728392² = 229473847093811328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338728391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1405392 + ... + 1405632.

Almost surely, 2^338728392 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 338728392

338728392 is an abundant number, since it is smaller than the sum of its proper divisors (617477193).

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

338728392 is an frugal number, since it uses more digits than its factorization.

338728392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 246 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 338728392 is about 18404.5753007235. The cubic root of 338728392 is about 697.0819972050.

The spelling of 338728392 in words is "three hundred thirty-eight million, seven hundred twenty-eight thousand, three hundred ninety-two".