320628 has 48 divisors (see below), whose sum is σ = 935424. Its totient is φ = 83040.

The previous prime is 320627. The next prime is 320647. The reversal of 320628 is 826023.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 320628.

It is not an unprimeable number, because it can be changed into a prime (320627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (19488).

2³²⁰⁶²⁸ 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 320628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467712).

320628 is an abundant number, since it is smaller than the sum of its proper divisors (614796).

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

320628 is a wasteful number, since it uses less digits than its factorization.

320628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 320628 is about 566.2402317038. The cubic root of 320628 is about 68.4437529993.

The spelling of 320628 in words is "three hundred twenty thousand, six hundred twenty-eight".