528031728 has 120 divisors (see below), whose sum is σ = 1693605888. Its totient is φ = 150443136.

The previous prime is 528031709. The next prime is 528031753. The reversal of 528031728 is 827130825.

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

It is a junction number, because it is equal to n+sod(n) for n = 528031692 and 528031701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611425 + ... + 612287.

Almost surely, 2^528031728 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 528031728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846802944).

528031728 is an abundant number, since it is smaller than the sum of its proper divisors (1165574160).

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

528031728 is a wasteful number, since it uses less digits than its factorization.

528031728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 528031728 is about 22978.9409677644. The cubic root of 528031728 is about 808.2641932526.

The spelling of 528031728 in words is "five hundred twenty-eight million, thirty-one thousand, seven hundred twenty-eight".