628750080 has 576 divisors, whose sum is σ = 2684344320. Its totient is φ = 136249344.

The previous prime is 628750039. The next prime is 628750093. The reversal of 628750080 is 80057826.

628750080 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 (576).

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 63 ways as a sum of consecutive naturals, for example, 5564104 + ... + 5564216.

It is an arithmetic number, because the mean of its divisors is an integer number (4660320).

Almost surely, 2^628750080 is an apocalyptic number.

628750080 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 628750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342172160).

628750080 is an abundant number, since it is smaller than the sum of its proper divisors (2055594240).

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

628750080 is a wasteful number, since it uses less digits than its factorization.

628750080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 628750080 is about 25074.8894314611. The cubic root of 628750080 is about 856.6945770219.

The spelling of 628750080 in words is "six hundred twenty-eight million, seven hundred fifty thousand, eighty".