398628 has 24 divisors (see below), whose sum is σ = 1033760. Its totient is φ = 132840.

The previous prime is 398627. The next prime is 398669. The reversal of 398628 is 826893.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3³ + 9⁵ + 6⁵ + 8⁴ + 2¹⁶ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 398592 and 398601.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398628.

It is not an unprimeable number, because it can be changed into a prime (398621) by changing a digit.

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, 1738 + ... + 1953.

2³⁹⁸⁶²⁸ is an apocalyptic number.

It is an amenable number.

398628 is an abundant number, since it is smaller than the sum of its proper divisors (635132).

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

398628 is a wasteful number, since it uses less digits than its factorization.

398628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3696 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 398628 is about 631.3699391007. The cubic root of 398628 is about 73.5962919524.

The spelling of 398628 in words is "three hundred ninety-eight thousand, six hundred twenty-eight".