531224928 has 288 divisors, whose sum is σ = 1761177600. Its totient is φ = 150543360.

The previous prime is 531224927. The next prime is 531224963. The reversal of 531224928 is 829422135.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 531224892 and 531224901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531224927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2669373 + ... + 2669571.

It is an arithmetic number, because the mean of its divisors is an integer number (6115200).

Almost surely, 2^531224928 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 531224928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

531224928 is an abundant number, since it is smaller than the sum of its proper divisors (1229952672).

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

531224928 is a wasteful number, since it uses less digits than its factorization.

531224928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 531224928 is about 23048.3172487711. The cubic root of 531224928 is about 809.8902091704.

The spelling of 531224928 in words is "five hundred thirty-one million, two hundred twenty-four thousand, nine hundred twenty-eight".