628830 has 64 divisors (see below), whose sum is σ = 1788480. Its totient is φ = 156672.

The previous prime is 628819. The next prime is 628841. The reversal of 628830 is 38826.

628830 is a `hidden beast` number, since 628 + 8 + 30 = 666.

628830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (628819) and next prime (628841).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 628794 and 628803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4522 + ... + 4658.

It is an arithmetic number, because the mean of its divisors is an integer number (27945).

2⁶²⁸⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894240).

628830 is an abundant number, since it is smaller than the sum of its proper divisors (1159650).

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

628830 is a wasteful number, since it uses less digits than its factorization.

628830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 628830 is about 792.9880200861. The cubic root of 628830 is about 85.6730873441.

The spelling of 628830 in words is "six hundred twenty-eight thousand, eight hundred thirty".