528081120 has 240 divisors, whose sum is σ = 2130293088. Its totient is φ = 120683520.

The previous prime is 528081077. The next prime is 528081121. The reversal of 528081120 is 21180825.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528081121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87810 + ... + 93630.

Almost surely, 2^528081120 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 528081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065146544).

528081120 is an abundant number, since it is smaller than the sum of its proper divisors (1602211968).

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

528081120 is a wasteful number, since it uses less digits than its factorization.

528081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 528081120 is about 22980.0156657910. The cubic root of 528081120 is about 808.2893940996.

The spelling of 528081120 in words is "five hundred twenty-eight million, eighty-one thousand, one hundred twenty".