528864768 has 160 divisors (see below), whose sum is σ = 1591624320. Its totient is φ = 173352960.

The previous prime is 528864767. The next prime is 528864811. The reversal of 528864768 is 867468825.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528864767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 925923 + ... + 926493.

It is an arithmetic number, because the mean of its divisors is an integer number (9947652).

Almost surely, 2^528864768 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 528864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795812160).

528864768 is an abundant number, since it is smaller than the sum of its proper divisors (1062759552).

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

528864768 is an equidigital number, since it uses as much as digits as its factorization.

528864768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 643 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 528864768 is about 22997.0599860069. The cubic root of 528864768 is about 808.6890178707.

The spelling of 528864768 in words is "five hundred twenty-eight million, eight hundred sixty-four thousand, seven hundred sixty-eight".