628581327 has 48 divisors (see below), whose sum is σ = 963830784. Its totient is φ = 363686400.

The previous prime is 628581323. The next prime is 628581347. The reversal of 628581327 is 723185826.

It is not a de Polignac number, because 628581327 - 2² = 628581323 is a prime.

It is a super-2 number, since 2×628581327² = 790228969306161858, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628581323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 933663 + ... + 934335.

It is an arithmetic number, because the mean of its divisors is an integer number (20079808).

Almost surely, 2^628581327 is an apocalyptic number.

628581327 is a deficient number, since it is larger than the sum of its proper divisors (335249457).

628581327 is a wasteful number, since it uses less digits than its factorization.

628581327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 801 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 628581327 is about 25071.5242257028. The cubic root of 628581327 is about 856.6179261551.

The spelling of 628581327 in words is "six hundred twenty-eight million, five hundred eighty-one thousand, three hundred twenty-seven".