628781189120 has 192 divisors, whose sum is σ = 1725403680000. Its totient is φ = 215436165120.

The previous prime is 628781189111. The next prime is 628781189189. The reversal of 628781189120 is 21981187826.

It is a super-2 number, since 2×628781189120² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197046725 + ... + 197049915.

It is an arithmetic number, because the mean of its divisors is an integer number (8986477500).

Almost surely, 2^628781189120 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 628781189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862701840000).

628781189120 is an abundant number, since it is smaller than the sum of its proper divisors (1096622490880).

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

628781189120 is a wasteful number, since it uses less digits than its factorization.

628781189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 53.

The spelling of 628781189120 in words is "six hundred twenty-eight billion, seven hundred eighty-one million, one hundred eighty-nine thousand, one hundred twenty".