628768 has 36 divisors (see below), whose sum is σ = 1443582. Its totient is φ = 268800.

The previous prime is 628759. The next prime is 628781. The reversal of 628768 is 867826.

It can be written as a sum of positive squares in only one way, i.e., 345744 + 283024 = 588^2 + 532^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1368 + ... + 1768.

2⁶²⁸⁷⁶⁸ 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 628768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721791).

628768 is an abundant number, since it is smaller than the sum of its proper divisors (814814).

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

628768 is a wasteful number, since it uses less digits than its factorization.

628768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 410 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 628768 is about 792.9489264764. The cubic root of 628768 is about 85.6702715826.

The spelling of 628768 in words is "six hundred twenty-eight thousand, seven hundred sixty-eight".