628335942600 has 192 divisors, whose sum is σ = 2063296065600. Its totient is φ = 157633044480.

The previous prime is 628335942581. The next prime is 628335942643. The reversal of 628335942600 is 6249533826.

It is a self number, because there is not a number n which added to its sum of digits gives 628335942600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26681631 + ... + 26705169.

It is an arithmetic number, because the mean of its divisors is an integer number (10746333675).

Almost surely, 2^628335942600 is an apocalyptic number.

628335942600 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 628335942600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031648032800).

628335942600 is an abundant number, since it is smaller than the sum of its proper divisors (1434960123000).

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

628335942600 is a wasteful number, since it uses less digits than its factorization.

628335942600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26192 (or 26183 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 628335942600 in words is "six hundred twenty-eight billion, three hundred thirty-five million, nine hundred forty-two thousand, six hundred".