528072440 has 128 divisors (see below), whose sum is σ = 1395947520. Its totient is φ = 176064000.

The previous prime is 528072439. The next prime is 528072463. The reversal of 528072440 is 44270825.

It is a junction number, because it is equal to n+sod(n) for n = 528072397 and 528072406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2007749 + ... + 2008011.

It is an arithmetic number, because the mean of its divisors is an integer number (10905840).

Almost surely, 2^528072440 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 528072440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697973760).

528072440 is an abundant number, since it is smaller than the sum of its proper divisors (867875080).

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

528072440 is a wasteful number, since it uses less digits than its factorization.

528072440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 528072440 is about 22979.8268052655. The cubic root of 528072440 is about 808.2849654931.

The spelling of 528072440 in words is "five hundred twenty-eight million, seventy-two thousand, four hundred forty".