628100 has 36 divisors (see below), whose sum is σ = 1489488. Its totient is φ = 228000.

The previous prime is 628097. The next prime is 628127. The reversal of 628100 is 1826.

It is a super-2 number, since 2×628100² = 789019220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 815 + ... + 1385.

2⁶²⁸¹⁰⁰ 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 628100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744744).

628100 is an abundant number, since it is smaller than the sum of its proper divisors (861388).

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

628100 is a wasteful number, since it uses less digits than its factorization.

628100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 628100 is about 792.5276020430. The cubic root of 628100 is about 85.6399222754.

Adding to 628100 its reverse (1826), we get a palindrome (629926).

The spelling of 628100 in words is "six hundred twenty-eight thousand, one hundred".