628313472 has 96 divisors (see below), whose sum is σ = 1914452280. Its totient is φ = 197111808.

The previous prime is 628313461. The next prime is 628313509. The reversal of 628313472 is 274313826.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3543 + ... + 35625.

Almost surely, 2^628313472 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 628313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957226140).

628313472 is an abundant number, since it is smaller than the sum of its proper divisors (1286138808).

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

628313472 is a wasteful number, since it uses less digits than its factorization.

628313472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32120 (or 32105 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 628313472 is about 25066.1818392830. The cubic root of 628313472 is about 856.4962330748.

The spelling of 628313472 in words is "six hundred twenty-eight million, three hundred thirteen thousand, four hundred seventy-two".