398728 has 32 divisors (see below), whose sum is σ = 855360. Its totient is φ = 172480.

The previous prime is 398711. The next prime is 398729. The reversal of 398728 is 827893.

It is not an unprimeable number, because it can be changed into a prime (398729) by changing a digit.

398728 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 7 ways as a sum of consecutive naturals, for example, 1926 + ... + 2122.

It is an arithmetic number, because the mean of its divisors is an integer number (26730).

2³⁹⁸⁷²⁸ 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 398728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427680).

398728 is an abundant number, since it is smaller than the sum of its proper divisors (456632).

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

398728 is a wasteful number, since it uses less digits than its factorization.

398728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 398728 is about 631.4491270087. The cubic root of 398728 is about 73.6024455709.

The spelling of 398728 in words is "three hundred ninety-eight thousand, seven hundred twenty-eight".