528353280 has 720 divisors, whose sum is σ = 2372430060. Its totient is φ = 111476736.

The previous prime is 528353279. The next prime is 528353297. The reversal of 528353280 is 82353825.

528353280 is a `hidden beast` number, since 5 + 28 + 353 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 491774976 + 36578304 = 22176^2 + 6048^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40642554 + ... + 40642566.

Almost surely, 2^528353280 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 528353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186215030).

528353280 is an abundant number, since it is smaller than the sum of its proper divisors (1844076780).

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

528353280 is a wasteful number, since it uses less digits than its factorization.

528353280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 528353280 is about 22985.9365699986. The cubic root of 528353280 is about 808.4282277324.

The spelling of 528353280 in words is "five hundred twenty-eight million, three hundred fifty-three thousand, two hundred eighty".