528968160 has 288 divisors, whose sum is σ = 2088096192. Its totient is φ = 119439360.

The previous prime is 528968131. The next prime is 528968161. The reversal of 528968160 is 61869825.

528968160 is a `hidden beast` number, since 528 + 9 + 68 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528968161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 977490 + ... + 978030.

It is an arithmetic number, because the mean of its divisors is an integer number (7250334).

Almost surely, 2^528968160 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 528968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044048096).

528968160 is an abundant number, since it is smaller than the sum of its proper divisors (1559128032).

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

528968160 is a wasteful number, since it uses less digits than its factorization.

528968160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 528968160 is about 22999.3078156713. The cubic root of 528968160 is about 808.7417134632.

The spelling of 528968160 in words is "five hundred twenty-eight million, nine hundred sixty-eight thousand, one hundred sixty".