528564736 has 80 divisors (see below), whose sum is σ = 1216797120. Its totient is φ = 224686080.

The previous prime is 528564713. The next prime is 528564739. The reversal of 528564736 is 637465825.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (528564739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 497646 + ... + 498706.

It is an arithmetic number, because the mean of its divisors is an integer number (15209964).

Almost surely, 2^528564736 is an apocalyptic number.

528564736 is a gapful number since it is divisible by the number (56) 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 528564736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608398560).

528564736 is an abundant number, since it is smaller than the sum of its proper divisors (688232384).

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

528564736 is a wasteful number, since it uses less digits than its factorization.

528564736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1209 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 46.

The square root of 528564736 is about 22990.5357919297. The cubic root of 528564736 is about 808.5360622726.

The spelling of 528564736 in words is "five hundred twenty-eight million, five hundred sixty-four thousand, seven hundred thirty-six".