628221484800 has 2592 divisors, whose sum is σ = 3006872214528. Its totient is φ = 126127964160.

The previous prime is 628221484763. The next prime is 628221484853. The reversal of 628221484800 is 8484122826.

628221484800 is a `hidden beast` number, since 6 + 2 + 8 + 22 + 148 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 287 ways as a sum of consecutive naturals, for example, 3255033504 + ... + 3255033696.

Almost surely, 2^628221484800 is an apocalyptic number.

628221484800 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 628221484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503436107264).

628221484800 is an abundant number, since it is smaller than the sum of its proper divisors (2378650729728).

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

628221484800 is a wasteful number, since it uses less digits than its factorization.

628221484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 628221484800 in words is "six hundred twenty-eight billion, two hundred twenty-one million, four hundred eighty-four thousand, eight hundred".