628389664128 has 192 divisors, whose sum is σ = 1876199991120. Its totient is φ = 209354803200.

The previous prime is 628389664099. The next prime is 628389664141. The reversal of 628389664128 is 821466983826.

628389664128 is a `hidden beast` number, since 6 + 2 + 83 + 89 + 66 + 412 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79528978 + ... + 79536878.

Almost surely, 2^628389664128 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 628389664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938099995560).

628389664128 is an abundant number, since it is smaller than the sum of its proper divisors (1247810326992).

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

628389664128 is an equidigital number, since it uses as much as digits as its factorization.

628389664128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10487 (or 10463 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 628389664128 in words is "six hundred twenty-eight billion, three hundred eighty-nine million, six hundred sixty-four thousand, one hundred twenty-eight".