523752768 has 336 divisors, whose sum is σ = 1917801600. Its totient is φ = 135475200.

The previous prime is 523752763. The next prime is 523752791. The reversal of 523752768 is 867257325.

523752768 is a `hidden beast` number, since 5 + 2 + 375 + 276 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523752763) 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, 2173128 + ... + 2173368.

Almost surely, 2^523752768 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 523752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958900800).

523752768 is an abundant number, since it is smaller than the sum of its proper divisors (1394048832).

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

523752768 is a wasteful number, since it uses less digits than its factorization.

523752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 264 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 523752768 is about 22885.6454573604. The cubic root of 523752768 is about 806.0749847627.

The spelling of 523752768 in words is "five hundred twenty-three million, seven hundred fifty-two thousand, seven hundred sixty-eight".