628313280 has 504 divisors, whose sum is σ = 2515349808. Its totient is φ = 132378624.

The previous prime is 628313219. The next prime is 628313281. The reversal of 628313280 is 82313826.

It is not an unprimeable number, because it can be changed into a prime (628313281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16981422 + ... + 16981458.

Almost surely, 2^628313280 is an apocalyptic number.

628313280 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 628313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257674904).

628313280 is an abundant number, since it is smaller than the sum of its proper divisors (1887036528).

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

628313280 is a wasteful number, since it uses less digits than its factorization.

628313280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 628313280 is about 25066.1780094214. The cubic root of 628313280 is about 856.4961458321.

The spelling of 628313280 in words is "six hundred twenty-eight million, three hundred thirteen thousand, two hundred eighty".