648628593 has 32 divisors (see below), whose sum is σ = 943411200. Its totient is φ = 394891200.

The previous prime is 648628583. The next prime is 648628597. The reversal of 648628593 is 395826846.

It is not a de Polignac number, because 648628593 - 2⁴ = 648628577 is a prime.

It is a super-3 number, since 3×648628593³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (648628597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584323 + ... + 585431.

It is an arithmetic number, because the mean of its divisors is an integer number (29481600).

Almost surely, 2^648628593 is an apocalyptic number.

It is an amenable number.

648628593 is a deficient number, since it is larger than the sum of its proper divisors (294782607).

648628593 is a wasteful number, since it uses less digits than its factorization.

648628593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493.

The product of its digits is 2488320, while the sum is 51.

The square root of 648628593 is about 25468.1878625080. The cubic root of 648628593 is about 865.6294628624.

The spelling of 648628593 in words is "six hundred forty-eight million, six hundred twenty-eight thousand, five hundred ninety-three".