628645500 has 216 divisors, whose sum is σ = 2307758544. Its totient is φ = 143640000.

The previous prime is 628645489. The next prime is 628645517. The reversal of 628645500 is 5546826.

628645500 is a `hidden beast` number, since 6 + 2 + 8 + 645 + 5 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 219075 + ... + 221925.

Almost surely, 2^628645500 is an apocalyptic number.

628645500 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 628645500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153879272).

628645500 is an abundant number, since it is smaller than the sum of its proper divisors (1679113044).

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

628645500 is a wasteful number, since it uses less digits than its factorization.

628645500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 628645500 is about 25072.8039915762. The cubic root of 628645500 is about 856.6470763855.

The spelling of 628645500 in words is "six hundred twenty-eight million, six hundred forty-five thousand, five hundred".