648000528 has 160 divisors (see below), whose sum is σ = 2026156032. Its totient is φ = 174451200.

The previous prime is 648000527. The next prime is 648000593. The reversal of 648000528 is 825000846.

It is not an unprimeable number, because it can be changed into a prime (648000527) 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, 548098 + ... + 549278.

Almost surely, 2^648000528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648000528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013078016).

648000528 is an abundant number, since it is smaller than the sum of its proper divisors (1378155504).

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

648000528 is a wasteful number, since it uses less digits than its factorization.

648000528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 648000528 is about 25455.8544936131. The cubic root of 648000528 is about 865.3499772176.

The spelling of 648000528 in words is "six hundred forty-eight million, five hundred twenty-eight", and thus it is an aban number.