628144 has 40 divisors (see below), whose sum is σ = 1374912. Its totient is φ = 275520.

The previous prime is 628139. The next prime is 628171. The reversal of 628144 is 441826.

It is an unprimeable number.

628144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7527 + ... + 7609.

2⁶²⁸¹⁴⁴ 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 628144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456).

628144 is an abundant number, since it is smaller than the sum of its proper divisors (746768).

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

628144 is a wasteful number, since it uses less digits than its factorization.

628144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 628144 is about 792.5553608424. Note that the first 3 decimals coincide. The cubic root of 628144 is about 85.6419219934.

The spelling of 628144 in words is "six hundred twenty-eight thousand, one hundred forty-four".