628531968 has 72 divisors (see below), whose sum is σ = 1713697776. Its totient is φ = 204390400.

The previous prime is 628531961. The next prime is 628531997. The reversal of 628531968 is 869135826.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (628531961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21508 + ... + 41468.

It is an arithmetic number, because the mean of its divisors is an integer number (23801358).

Almost surely, 2^628531968 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 628531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856848888).

628531968 is an abundant number, since it is smaller than the sum of its proper divisors (1085165808).

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

628531968 is a wasteful number, since it uses less digits than its factorization.

628531968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20021 (or 20007 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 628531968 is about 25070.5398426121. The cubic root of 628531968 is about 856.5955037524.

The spelling of 628531968 in words is "six hundred twenty-eight million, five hundred thirty-one thousand, nine hundred sixty-eight".