628609320 has 288 divisors, whose sum is σ = 2230675200. Its totient is φ = 153204480.

The previous prime is 628609313. The next prime is 628609321. The reversal of 628609320 is 23906826.

628609320 is a `hidden beast` number, since 6 + 28 + 609 + 3 + 20 = 666.

628609320 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 (36).

It is not an unprimeable number, because it can be changed into a prime (628609321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7957041 + ... + 7957119.

It is an arithmetic number, because the mean of its divisors is an integer number (7745400).

Almost surely, 2^628609320 is an apocalyptic number.

628609320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628609320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115337600).

628609320 is an abundant number, since it is smaller than the sum of its proper divisors (1602065880).

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

628609320 is a wasteful number, since it uses less digits than its factorization.

628609320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 628609320 is about 25072.0824823149. The cubic root of 628609320 is about 856.6306420645.

The spelling of 628609320 in words is "six hundred twenty-eight million, six hundred nine thousand, three hundred twenty".