628819968 has 96 divisors (see below), whose sum is σ = 1916066880. Its totient is φ = 179650560.

The previous prime is 628819951. The next prime is 628819969. The reversal of 628819968 is 869918826.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (628819969) 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, 35698 + ... + 50318.

It is an arithmetic number, because the mean of its divisors is an integer number (19959030).

Almost surely, 2^628819968 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 628819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958033440).

628819968 is an abundant number, since it is smaller than the sum of its proper divisors (1287246912).

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

628819968 is a wasteful number, since it uses less digits than its factorization.

628819968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14653 (or 14633 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 57.

The square root of 628819968 is about 25076.2829781449. The cubic root of 628819968 is about 856.7263174830.

The spelling of 628819968 in words is "six hundred twenty-eight million, eight hundred nineteen thousand, nine hundred sixty-eight".