628484749200 has 720 divisors, whose sum is σ = 2782479338496. Its totient is φ = 127554739200.

The previous prime is 628484749141. The next prime is 628484749201. The reversal of 628484749200 is 2947484826.

628484749200 is a `hidden beast` number, since 6 + 2 + 8 + 484 + 74 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (628484749201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 11893237 + ... + 11945963.

Almost surely, 2^628484749200 is an apocalyptic number.

628484749200 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 628484749200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391239669248).

628484749200 is an abundant number, since it is smaller than the sum of its proper divisors (2153994589296).

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

628484749200 is a wasteful number, since it uses less digits than its factorization.

628484749200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52812 (or 52798 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 628484749200 in words is "six hundred twenty-eight billion, four hundred eighty-four million, seven hundred forty-nine thousand, two hundred".