628645680 has 240 divisors, whose sum is σ = 2323601280. Its totient is φ = 151345152.

The previous prime is 628645663. The next prime is 628645711. The reversal of 628645680 is 86546826.

628645680 is a `hidden beast` number, since 6 + 2 + 86 + 4 + 568 + 0 = 666.

628645680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 439206 + ... + 440634.

It is an arithmetic number, because the mean of its divisors is an integer number (9681672).

Almost surely, 2^628645680 is an apocalyptic number.

628645680 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 628645680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161800640).

628645680 is an abundant number, since it is smaller than the sum of its proper divisors (1694955600).

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

628645680 is a wasteful number, since it uses less digits than its factorization.

628645680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1499 counting only the distinct ones).

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

The square root of 628645680 is about 25072.8075811226. The cubic root of 628645680 is about 856.6471581468.

The spelling of 628645680 in words is "six hundred twenty-eight million, six hundred forty-five thousand, six hundred eighty".