398288 has 40 divisors (see below), whose sum is σ = 880896. Its totient is φ = 172800.

The previous prime is 398287. The next prime is 398303. The reversal of 398288 is 882893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5420 + ... + 5492.

2³⁹⁸²⁸⁸ 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 398288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440448).

398288 is an abundant number, since it is smaller than the sum of its proper divisors (482608).

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

398288 is a wasteful number, since it uses less digits than its factorization.

398288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 398288 is about 631.1006258910. The cubic root of 398288 is about 73.5753619485.

It can be divided in two parts, 398 and 288, that added together give a palindrome (686).

The spelling of 398288 in words is "three hundred ninety-eight thousand, two hundred eighty-eight".