628536596809 has 9 divisors (see below), whose sum is σ = 690880390599. Its totient is φ = 571388978160.

The previous prime is 628536596801. The next prime is 628536596843. The reversal of 628536596809 is 908695635826.

The square root of 628536596809 is 792803.

It is a perfect power (a square), and thus also a powerful number.

628536596809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 601485558025 + 27051038784 = 775555^2 + 164472^2 .

It is not a de Polignac number, because 628536596809 - 2³ = 628536596801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (628536596801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8684797 + ... + 8756869.

Almost surely, 2^628536596809 is an apocalyptic number.

628536596809 is the 792803-rd square number.

628536596809 is the 396402-nd centered octagonal number.

It is an amenable number.

628536596809 is a deficient number, since it is larger than the sum of its proper divisors (62343793790).

628536596809 is an frugal number, since it uses more digits than its factorization.

628536596809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144168 (or 72084 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 67.

The spelling of 628536596809 in words is "six hundred twenty-eight billion, five hundred thirty-six million, five hundred ninety-six thousand, eight hundred nine".