528736320 has 168 divisors, whose sum is σ = 2078516544. Its totient is φ = 120849408.

The previous prime is 528736319. The next prime is 528736331. The reversal of 528736320 is 23637825.

528736320 is a `hidden beast` number, since 528 + 73 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7047 + ... + 33273.

Almost surely, 2^528736320 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 528736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039258272).

528736320 is an abundant number, since it is smaller than the sum of its proper divisors (1549780224).

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

528736320 is a wasteful number, since it uses less digits than its factorization.

528736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26257 (or 26244 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 528736320 is about 22994.2671116085. The cubic root of 528736320 is about 808.6235424702.

The spelling of 528736320 in words is "five hundred twenty-eight million, seven hundred thirty-six thousand, three hundred twenty".