628348723200 has 1008 divisors, whose sum is σ = 2601219868416. Its totient is φ = 143287910400.

The previous prime is 628348723159. The next prime is 628348723231. The reversal of 628348723200 is 2327843826.

628348723200 is a `hidden beast` number, since 6 + 283 + 48 + 7 + 2 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 344677489 + ... + 344679311.

Almost surely, 2^628348723200 is an apocalyptic number.

628348723200 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 628348723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300609934208).

628348723200 is an abundant number, since it is smaller than the sum of its proper divisors (1972871145216).

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

628348723200 is a wasteful number, since it uses less digits than its factorization.

628348723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 628348723200 in words is "six hundred twenty-eight billion, three hundred forty-eight million, seven hundred twenty-three thousand, two hundred".