628950 has 48 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 143520.

The previous prime is 628939. The next prime is 628973. The reversal of 628950 is 59826.

628950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 628950.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751 + ... + 1349.

It is an arithmetic number, because the mean of its divisors is an integer number (37200).

2⁶²⁸⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

628950 is an abundant number, since it is smaller than the sum of its proper divisors (1156650).

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

628950 is a wasteful number, since it uses less digits than its factorization.

628950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 628950 is about 793.0636796626. The cubic root of 628950 is about 85.6785366795.

The spelling of 628950 in words is "six hundred twenty-eight thousand, nine hundred fifty".