628073611200 has 1680 divisors, whose sum is σ = 2743931520000. Its totient is φ = 140826470400.

The previous prime is 628073611117. The next prime is 628073611211. The reversal of 628073611200 is 2116370826.

628073611200 is a `hidden beast` number, since 6 + 280 + 7 + 361 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×628073611200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 3156148701 + ... + 3156148899.

Almost surely, 2^628073611200 is an apocalyptic number.

628073611200 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 628073611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371965760000).

628073611200 is an abundant number, since it is smaller than the sum of its proper divisors (2115857908800).

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

628073611200 is a wasteful number, since it uses less digits than its factorization.

628073611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 628073611200 in words is "six hundred twenty-eight billion, seventy-three million, six hundred eleven thousand, two hundred".