628430080 has 72 divisors (see below), whose sum is σ = 1520502984. Its totient is φ = 248832000.

The previous prime is 628430071. The next prime is 628430107. The reversal of 628430080 is 80034826.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 363131136 + 265298944 = 19056^2 + 16288^2 .

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 7 ways as a sum of consecutive naturals, for example, 126850 + ... + 131710.

It is an arithmetic number, because the mean of its divisors is an integer number (21118097).

Almost surely, 2^628430080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760251492).

628430080 is an abundant number, since it is smaller than the sum of its proper divisors (892072904).

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

628430080 is a wasteful number, since it uses less digits than its factorization.

628430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 628430080 is about 25068.5077338082. The cubic root of 628430080 is about 856.5492151924.

The spelling of 628430080 in words is "six hundred twenty-eight million, four hundred thirty thousand, eighty".