337728 has 28 divisors (see below), whose sum is σ = 894080. Its totient is φ = 112512.

The previous prime is 337721. The next prime is 337741. The reversal of 337728 is 827733.

It is a super-2 number, since 2×337728² = 228120403968, which contains 22 as substring.

Its product of digits (7056) is a multiple of the sum of its prime divisors (1764).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 337695 and 337704.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 337728.

It is not an unprimeable number, because it can be changed into a prime (337721) by changing a digit.

337728 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, 688 + ... + 1071.

2³³⁷⁷²⁸ is an apocalyptic number.

It is an amenable number.

337728 is an abundant number, since it is smaller than the sum of its proper divisors (556352).

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

337728 is a wasteful number, since it uses less digits than its factorization.

337728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1764 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 337728 is about 581.1436999572. The cubic root of 337728 is about 69.6395072306.

The spelling of 337728 in words is "three hundred thirty-seven thousand, seven hundred twenty-eight".