628300800 has 396 divisors, whose sum is σ = 2356031496. Its totient is φ = 165888000.

The previous prime is 628300789. The next prime is 628300823. The reversal of 628300800 is 8003826.

628300800 is a `hidden beast` number, since 628 + 30 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6220750 + ... + 6220850.

Almost surely, 2^628300800 is an apocalyptic number.

628300800 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 628300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178015748).

628300800 is an abundant number, since it is smaller than the sum of its proper divisors (1727730696).

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

628300800 is a wasteful number, since it uses less digits than its factorization.

628300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 628300800 is about 25065.9290671621. The cubic root of 628300800 is about 856.4904750184.

The spelling of 628300800 in words is "six hundred twenty-eight million, three hundred thousand, eight hundred".