473827328 has 108 divisors (see below), whose sum is σ = 1054384695. Its totient is φ = 212779008.

The previous prime is 473827327. The next prime is 473827337. The reversal of 473827328 is 823728374.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 267387904 + 206439424 = 16352^2 + 14368^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15392.

It is not an unprimeable number, because it can be changed into a prime (473827327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12806126 + ... + 12806162.

Almost surely, 2^473827328 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 473827328

473827328 is an abundant number, since it is smaller than the sum of its proper divisors (580557367).

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

473827328 is an equidigital number, since it uses as much as digits as its factorization.

473827328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 52 counting only the distinct ones).

The product of its digits is 451584, while the sum is 44.

The square root of 473827328 is about 21767.5751520467. The cubic root of 473827328 is about 779.6027606908.

The spelling of 473827328 in words is "four hundred seventy-three million, eight hundred twenty-seven thousand, three hundred twenty-eight".