628793217360 has 1440 divisors, whose sum is σ = 2846302824960. Its totient is φ = 127031224320.

The previous prime is 628793217347. The next prime is 628793217383. The reversal of 628793217360 is 63712397826.

628793217360 is a `hidden beast` number, since 6 + 287 + 9 + 321 + 7 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 628793217297 and 628793217306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 473845017 + ... + 473846343.

It is an arithmetic number, because the mean of its divisors is an integer number (1976599184).

Almost surely, 2^628793217360 is an apocalyptic number.

628793217360 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 628793217360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423151412480).

628793217360 is an abundant number, since it is smaller than the sum of its proper divisors (2217509607600).

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

628793217360 is a wasteful number, since it uses less digits than its factorization.

628793217360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 628793217360 in words is "six hundred twenty-eight billion, seven hundred ninety-three million, two hundred seventeen thousand, three hundred sixty".