628225113600 has 600 divisors, whose sum is σ = 2657296203408. Its totient is φ = 143592652800.

The previous prime is 628225113589. The next prime is 628225113619. The reversal of 628225113600 is 6311522826.

628225113600 is a `hidden beast` number, since 6 + 2 + 82 + 2 + 511 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7214320 + ... + 7300880.

Almost surely, 2^628225113600 is an apocalyptic number.

628225113600 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 628225113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328648101704).

628225113600 is an abundant number, since it is smaller than the sum of its proper divisors (2029071089808).

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

628225113600 is an equidigital number, since it uses as much as digits as its factorization.

628225113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86608 (or 86578 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 628225113600 in words is "six hundred twenty-eight billion, two hundred twenty-five million, one hundred thirteen thousand, six hundred".