628672 has 56 divisors (see below), whose sum is σ = 1463040. Its totient is φ = 264960.

The previous prime is 628651. The next prime is 628673. The reversal of 628672 is 276826.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13353 + ... + 13399.

2⁶²⁸⁶⁷² 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 628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731520).

628672 is an abundant number, since it is smaller than the sum of its proper divisors (834368).

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

628672 is a wasteful number, since it uses less digits than its factorization.

628672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 628672 is about 792.8883906326. Note that the first 3 decimals coincide. The cubic root of 628672 is about 85.6659113285.

The spelling of 628672 in words is "six hundred twenty-eight thousand, six hundred seventy-two".