576828000 has 576 divisors, whose sum is σ = 2464862400. Its totient is φ = 130636800.

The previous prime is 576827983. The next prime is 576828023. The reversal of 576828000 is 828675.

576828000 is a `hidden beast` number, since 576 + 8 + 2 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5291946 + ... + 5292054.

It is an arithmetic number, because the mean of its divisors is an integer number (4279275).

Almost surely, 2^576828000 is an apocalyptic number.

576828000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 576828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232431200).

576828000 is an abundant number, since it is smaller than the sum of its proper divisors (1888034400).

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

576828000 is a wasteful number, since it uses less digits than its factorization.

576828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 576828000 is about 24017.2438052329. The cubic root of 576828000 is about 832.4320210705.

The spelling of 576828000 in words is "five hundred seventy-six million, eight hundred twenty-eight thousand".