628885824 has 112 divisors (see below), whose sum is σ = 1909315968. Its totient is φ = 178956288.

The previous prime is 628885801. The next prime is 628885841. The reversal of 628885824 is 428588826.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 392994 + ... + 394590.

It is an arithmetic number, because the mean of its divisors is an integer number (17047464).

Almost surely, 2^628885824 is an apocalyptic number.

628885824 is a gapful number since it is divisible by the number (64) 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 628885824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954657984).

628885824 is an abundant number, since it is smaller than the sum of its proper divisors (1280430144).

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

628885824 is a wasteful number, since it uses less digits than its factorization.

628885824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1902 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 51.

The square root of 628885824 is about 25077.5960570386. The cubic root of 628885824 is about 856.7562246115.

The spelling of 628885824 in words is "six hundred twenty-eight million, eight hundred eighty-five thousand, eight hundred twenty-four".