628677960 has 64 divisors (see below), whose sum is σ = 1897663680. Its totient is φ = 166613760.

The previous prime is 628677941. The next prime is 628677961. The reversal of 628677960 is 69776826.

628677960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (628677961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3490 + ... + 35630.

It is an arithmetic number, because the mean of its divisors is an integer number (29650995).

Almost surely, 2^628677960 is an apocalyptic number.

628677960 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 628677960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948831840).

628677960 is an abundant number, since it is smaller than the sum of its proper divisors (1268985720).

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

628677960 is a wasteful number, since it uses less digits than its factorization.

628677960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32318 (or 32314 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 628677960 is about 25073.4512981360. The cubic root of 628677960 is about 856.6618204056.

The spelling of 628677960 in words is "six hundred twenty-eight million, six hundred seventy-seven thousand, nine hundred sixty".