527429728 has 96 divisors (see below), whose sum is σ = 1253448000. Its totient is φ = 218115072.

The previous prime is 527429719. The next prime is 527429779. The reversal of 527429728 is 827924725.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317476 + ... + 319132.

It is an arithmetic number, because the mean of its divisors is an integer number (13056750).

Almost surely, 2^527429728 is an apocalyptic number.

527429728 is a gapful number since it is divisible by the number (58) 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 527429728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626724000).

527429728 is an abundant number, since it is smaller than the sum of its proper divisors (726018272).

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

527429728 is a wasteful number, since it uses less digits than its factorization.

527429728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1695 counting only the distinct ones).

The product of its digits is 564480, while the sum is 46.

The square root of 527429728 is about 22965.8382821094. The cubic root of 527429728 is about 807.9569136911.

The spelling of 527429728 in words is "five hundred twenty-seven million, four hundred twenty-nine thousand, seven hundred twenty-eight".