528727320 has 384 divisors, whose sum is σ = 1994803200. Its totient is φ = 120268800.

The previous prime is 528727291. The next prime is 528727327. The reversal of 528727320 is 23727825.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528727327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7242804 + ... + 7242876.

It is an arithmetic number, because the mean of its divisors is an integer number (5194800).

Almost surely, 2^528727320 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 528727320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997401600).

528727320 is an abundant number, since it is smaller than the sum of its proper divisors (1466075880).

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

528727320 is a wasteful number, since it uses less digits than its factorization.

528727320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 528727320 is about 22994.0714098221. The cubic root of 528727320 is about 808.6189543904.

The spelling of 528727320 in words is "five hundred twenty-eight million, seven hundred twenty-seven thousand, three hundred twenty".