533128960 has 288 divisors, whose sum is σ = 1648281600. Its totient is φ = 160579584.

The previous prime is 533128913. The next prime is 533128969. The reversal of 533128960 is 69821335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533128969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2678941 + ... + 2679139.

It is an arithmetic number, because the mean of its divisors is an integer number (5723200).

Almost surely, 2^533128960 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 533128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824140800).

533128960 is an abundant number, since it is smaller than the sum of its proper divisors (1115152640).

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

533128960 is a wasteful number, since it uses less digits than its factorization.

533128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 533128960 is about 23089.5855311437. The cubic root of 533128960 is about 810.8566661842.

The spelling of 533128960 in words is "five hundred thirty-three million, one hundred twenty-eight thousand, nine hundred sixty".