628582368 has 24 divisors (see below), whose sum is σ = 1650028968. Its totient is φ = 209527424.

The previous prime is 628582363. The next prime is 628582373. The reversal of 628582368 is 863285826.

It is an interprime number because it is at equal distance from previous prime (628582363) and next prime (628582373).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628582363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3273771 + ... + 3273962.

It is an arithmetic number, because the mean of its divisors is an integer number (68751207).

Almost surely, 2^628582368 is an apocalyptic number.

It is an amenable number.

628582368 is an abundant number, since it is smaller than the sum of its proper divisors (1021446600).

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

628582368 is a wasteful number, since it uses less digits than its factorization.

628582368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547746 (or 6547738 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 628582368 is about 25071.5449862987. The cubic root of 628582368 is about 856.6183990394.

The spelling of 628582368 in words is "six hundred twenty-eight million, five hundred eighty-two thousand, three hundred sixty-eight".