628538803200 has 1584 divisors, whose sum is σ = 2850996096000. Its totient is φ = 128507904000.

The previous prime is 628538803187. The next prime is 628538803231. The reversal of 628538803200 is 2308835826.

628538803200 is a `hidden beast` number, since 6 + 2 + 8 + 538 + 80 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×628538803200² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1259596551 + ... + 1259597049.

Almost surely, 2^628538803200 is an apocalyptic number.

628538803200 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 628538803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425498048000).

628538803200 is an abundant number, since it is smaller than the sum of its proper divisors (2222457292800).

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

628538803200 is a wasteful number, since it uses less digits than its factorization.

628538803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 628538803200 in words is "six hundred twenty-eight billion, five hundred thirty-eight million, eight hundred three thousand, two hundred".