528800640 has 192 divisors, whose sum is σ = 1792413360. Its totient is φ = 132579328.

The previous prime is 528800639. The next prime is 528800651. The reversal of 528800640 is 46008825.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554404 + ... + 555356.

Almost surely, 2^528800640 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 528800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896206680).

528800640 is an abundant number, since it is smaller than the sum of its proper divisors (1263612720).

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

528800640 is a wasteful number, since it uses less digits than its factorization.

528800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 980 counting only the distinct ones).

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

The square root of 528800640 is about 22995.6656785578. The cubic root of 528800640 is about 808.6563304311.

The spelling of 528800640 in words is "five hundred twenty-eight million, eight hundred thousand, six hundred forty".