628814571333312 has 1344 divisors, whose sum is σ = 2142090113974272. Its totient is φ = 158514825830400.

The previous prime is 628814571333301. The next prime is 628814571333313. The reversal of 628814571333312 is 213333175418826.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (628814571333313) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 578486265633 + ... + 578486266719.

It is an arithmetic number, because the mean of its divisors is an integer number (1593817049088).

Almost surely, 2^{628814571333312} is an apocalyptic number.

628814571333312 is a gapful number since it is divisible by the number (62) 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 628814571333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071045056987136).

628814571333312 is an abundant number, since it is smaller than the sum of its proper divisors (1513275542640960).

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

628814571333312 is a wasteful number, since it uses less digits than its factorization.

628814571333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1537 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The spelling of 628814571333312 in words is "six hundred twenty-eight trillion, eight hundred fourteen billion, five hundred seventy-one million, three hundred thirty-three thousand, three hundred twelve".