528641280 has 216 divisors, whose sum is σ = 1850208360. Its totient is φ = 139345920.

The previous prime is 528641263. The next prime is 528641287. The reversal of 528641280 is 82146825.

528641280 is a `hidden beast` number, since 5 + 2 + 8 + 641 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 526427136 = 1488^2 + 22944^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528641287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255470 + ... + 1255890.

Almost surely, 2^528641280 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 528641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925104180).

528641280 is an abundant number, since it is smaller than the sum of its proper divisors (1321567080).

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

528641280 is a wasteful number, since it uses less digits than its factorization.

528641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 528641280 is about 22992.2004166630. The cubic root of 528641280 is about 808.5750897199.

The spelling of 528641280 in words is "five hundred twenty-eight million, six hundred forty-one thousand, two hundred eighty".