628271719680 has 576 divisors, whose sum is σ = 2254849228800. Its totient is φ = 147765657600.

The previous prime is 628271719651. The next prime is 628271719681. The reversal of 628271719680 is 86917172826.

It is a self number, because there is not a number n which added to its sum of digits gives 628271719680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628271719681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344635249 + ... + 344637071.

It is an arithmetic number, because the mean of its divisors is an integer number (3914668800).

Almost surely, 2^628271719680 is an apocalyptic number.

628271719680 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 628271719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127424614400).

628271719680 is an abundant number, since it is smaller than the sum of its proper divisors (1626577509120).

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

628271719680 is a wasteful number, since it uses less digits than its factorization.

628271719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 628271719680 in words is "six hundred twenty-eight billion, two hundred seventy-one million, seven hundred nineteen thousand, six hundred eighty".