528168960 has 288 divisors, whose sum is σ = 2000784240. Its totient is φ = 127795200.

The previous prime is 528168959. The next prime is 528168989. The reversal of 528168960 is 69861825.

528168960 is a `hidden beast` number, since 528 + 1 + 68 + 9 + 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013500 + ... + 1014020.

Almost surely, 2^528168960 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 528168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000392120).

528168960 is an abundant number, since it is smaller than the sum of its proper divisors (1472615280).

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

528168960 is a wasteful number, since it uses less digits than its factorization.

528168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 542 counting only the distinct ones).

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

The square root of 528168960 is about 22981.9268121713. The cubic root of 528168960 is about 808.3342080504.

It can be divided in two parts, 52816 and 8960, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 528168960 in words is "five hundred twenty-eight million, one hundred sixty-eight thousand, nine hundred sixty".