528262560 has 336 divisors, whose sum is σ = 2141790336. Its totient is φ = 120559104.

The previous prime is 528262549. The next prime is 528262561. The reversal of 528262560 is 65262825.

528262560 is a `hidden beast` number, since 5 + 28 + 2 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×528262560² = 558122664595507200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (528262561) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816157 + ... + 816803.

It is an arithmetic number, because the mean of its divisors is an integer number (6374376).

Almost surely, 2^528262560 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 528262560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070895168).

528262560 is an abundant number, since it is smaller than the sum of its proper divisors (1613527776).

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

528262560 is an equidigital number, since it uses as much as digits as its factorization.

528262560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 664 counting only the distinct ones).

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

The square root of 528262560 is about 22983.9631047389. The cubic root of 528262560 is about 808.3819551533.

The spelling of 528262560 in words is "five hundred twenty-eight million, two hundred sixty-two thousand, five hundred sixty".