531712128 has 128 divisors (see below), whose sum is σ = 1528139520. Its totient is φ = 163168256.

The previous prime is 531712127. The next prime is 531712133. The reversal of 531712128 is 821217135.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 531712095 and 531712104.

It is not an unprimeable number, because it can be changed into a prime (531712127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305950 + ... + 307682.

It is an arithmetic number, because the mean of its divisors is an integer number (11938590).

Almost surely, 2^531712128 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 531712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764069760).

531712128 is an abundant number, since it is smaller than the sum of its proper divisors (996427392).

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

531712128 is a wasteful number, since it uses less digits than its factorization.

531712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1802 counting only the distinct ones).

The product of its digits is 3360, while the sum is 30.

The square root of 531712128 is about 23058.8839278921. The cubic root of 531712128 is about 810.1377238762.

The spelling of 531712128 in words is "five hundred thirty-one million, seven hundred twelve thousand, one hundred twenty-eight".