628997738443200 has 2016 divisors, whose sum is σ = 2816082351194112. Its totient is φ = 129988260864000.

The previous prime is 628997738443183. The next prime is 628997738443237. The reversal of 628997738443200 is 2344837799826.

628997738443200 is a `hidden beast` number, since 6 + 2 + 8 + 9 + 97 + 73 + 8 + 443 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3090325435 + ... + 3090528965.

It is an arithmetic number, because the mean of its divisors is an integer number (1396866245632).

Almost surely, 2^{628997738443200} is an apocalyptic number.

628997738443200 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 628997738443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408041175597056).

628997738443200 is an abundant number, since it is smaller than the sum of its proper divisors (2187084612750912).

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

628997738443200 is a wasteful number, since it uses less digits than its factorization.

628997738443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203663 (or 203645 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 628997738443200 in words is "six hundred twenty-eight trillion, nine hundred ninety-seven billion, seven hundred thirty-eight million, four hundred forty-three thousand, two hundred".