528726528 has 400 divisors, whose sum is σ = 1841891040. Its totient is φ = 149299200.

The previous prime is 528726493. The next prime is 528726551. The reversal of 528726528 is 825627825.

528726528 is a `hidden beast` number, since 52 + 8 + 72 + 6 + 528 = 666.

Its product of digits (537600) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8667618 + ... + 8667678.

Almost surely, 2^528726528 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 528726528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920945520).

528726528 is an abundant number, since it is smaller than the sum of its proper divisors (1313164512).

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

528726528 is a wasteful number, since it uses less digits than its factorization.

528726528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 528726528 is about 22994.0541879852. The cubic root of 528726528 is about 808.6185506369.

The spelling of 528726528 in words is "five hundred twenty-eight million, seven hundred twenty-six thousand, five hundred twenty-eight".