575828352 has 384 divisors, whose sum is σ = 2002341600. Its totient is φ = 164229120.

The previous prime is 575828339. The next prime is 575828423. The reversal of 575828352 is 253828575.

575828352 is a `hidden beast` number, since 575 + 8 + 28 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 575828298 and 575828307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33872248 + ... + 33872264.

Almost surely, 2^575828352 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 575828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001170800).

575828352 is an abundant number, since it is smaller than the sum of its proper divisors (1426513248).

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

575828352 is an equidigital number, since it uses as much as digits as its factorization.

575828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 33 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 575828352 is about 23996.4237335483. The cubic root of 575828352 is about 831.9508723457.

The spelling of 575828352 in words is "five hundred seventy-five million, eight hundred twenty-eight thousand, three hundred fifty-two".