628720 has 40 divisors (see below), whose sum is σ = 1517760. Its totient is φ = 241920.

The previous prime is 628709. The next prime is 628721. The reversal of 628720 is 27826.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2185 + ... + 2455.

It is an arithmetic number, because the mean of its divisors is an integer number (37944).

2⁶²⁸⁷²⁰ 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 628720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758880).

628720 is an abundant number, since it is smaller than the sum of its proper divisors (889040).

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

628720 is a wasteful number, since it uses less digits than its factorization.

628720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 628720 is about 792.9186591322. The cubic root of 628720 is about 85.6680915110.

The spelling of 628720 in words is "six hundred twenty-eight thousand, seven hundred twenty".