628752575880 has 2304 divisors, whose sum is σ = 2766920083200. Its totient is φ = 127003852800.

The previous prime is 628752575879. The next prime is 628752575909. The reversal of 628752575880 is 88575257826.

It is a happy number.

628752575880 is a `hidden beast` number, since 6 + 2 + 8 + 7 + 52 + 575 + 8 + 8 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 10656823291 + ... + 10656823349.

It is an arithmetic number, because the mean of its divisors is an integer number (1200920175).

Almost surely, 2^628752575880 is an apocalyptic number.

628752575880 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 628752575880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383460041600).

628752575880 is an abundant number, since it is smaller than the sum of its proper divisors (2138167507320).

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

628752575880 is a wasteful number, since it uses less digits than its factorization.

628752575880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 63.

The spelling of 628752575880 in words is "six hundred twenty-eight billion, seven hundred fifty-two million, five hundred seventy-five thousand, eight hundred eighty".