628221484801 has 8 divisors (see below), whose sum is σ = 635062996008. Its totient is φ = 621392160000.

The previous prime is 628221484763. The next prime is 628221484853. The reversal of 628221484801 is 108484122826.

It can be written as a sum of positive squares in 4 ways, for example, as 393786370576 + 234435114225 = 627524^2 + 484185^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 628221484801 - 2³⁵ = 593861746433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (628221487801) 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 7 ways as a sum of consecutive naturals, for example, 2942920 + ... + 3149161.

It is an arithmetic number, because the mean of its divisors is an integer number (79382874501).

Almost surely, 2^628221484801 is an apocalyptic number.

It is an amenable number.

628221484801 is a deficient number, since it is larger than the sum of its proper divisors (6841511207).

628221484801 is a wasteful number, since it uses less digits than its factorization.

628221484801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6093203.

The product of its (nonzero) digits is 393216, while the sum is 46.

The spelling of 628221484801 in words is "six hundred twenty-eight billion, two hundred twenty-one million, four hundred eighty-four thousand, eight hundred one".