575306928 has 480 divisors, whose sum is σ = 2177003520. Its totient is φ = 141834240.

The previous prime is 575306881. The next prime is 575306929. The reversal of 575306928 is 829603575.

It is a happy number.

575306928 is a `hidden beast` number, since 57 + 530 + 69 + 2 + 8 = 666.

It is a super-2 number, since 2×575306928² = 661956122809594368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (575306929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18558273 + ... + 18558303.

It is an arithmetic number, because the mean of its divisors is an integer number (4535424).

Almost surely, 2^575306928 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 575306928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088501760).

575306928 is an abundant number, since it is smaller than the sum of its proper divisors (1601696592).

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

575306928 is a wasteful number, since it uses less digits than its factorization.

575306928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 575306928 is about 23985.5566539532. The cubic root of 575306928 is about 831.6996805024.

The spelling of 575306928 in words is "five hundred seventy-five million, three hundred six thousand, nine hundred twenty-eight".