534528000 has 360 divisors, whose sum is σ = 1993544280. Its totient is φ = 137625600.

The previous prime is 534527999. The next prime is 534528047. The reversal of 534528000 is 825435.

534528000 is a `hidden beast` number, since 534 + 52 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21233664 + 513294336 = 4608^2 + 22656^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18431986 + ... + 18432014.

It is an arithmetic number, because the mean of its divisors is an integer number (5537623).

Almost surely, 2^534528000 is an apocalyptic number.

534528000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996772140).

534528000 is an abundant number, since it is smaller than the sum of its proper divisors (1459016280).

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

534528000 is an equidigital number, since it uses as much as digits as its factorization.

534528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 534528000 is about 23119.8615912812. The cubic root of 534528000 is about 811.5653315176.

The spelling of 534528000 in words is "five hundred thirty-four million, five hundred twenty-eight thousand".