628515228000 has 768 divisors, whose sum is σ = 2393553576960. Its totient is φ = 142487552000.

The previous prime is 628515227933. The next prime is 628515228023. The reversal of 628515228000 is 822515826.

It is a self number, because there is not a number n which added to its sum of digits gives 628515228000.

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 127 ways as a sum of consecutive naturals, for example, 388211191 + ... + 388212809.

It is an arithmetic number, because the mean of its divisors is an integer number (3116606220).

Almost surely, 2^628515228000 is an apocalyptic number.

628515228000 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 628515228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196776788480).

628515228000 is an abundant number, since it is smaller than the sum of its proper divisors (1765038348960).

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

628515228000 is a wasteful number, since it uses less digits than its factorization.

628515228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 628515228000 in words is "six hundred twenty-eight billion, five hundred fifteen million, two hundred twenty-eight thousand".