463088128 has 40 divisors (see below), whose sum is σ = 938377440. Its totient is φ = 228264960.

The previous prime is 463088111. The next prime is 463088147. The reversal of 463088128 is 821880364.

It is a super-2 number, since 2×463088128² = 428901228589088768, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 29983 + ... + 42721.

It is an arithmetic number, because the mean of its divisors is an integer number (23459436).

Almost surely, 2^463088128 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 463088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469188720).

463088128 is an abundant number, since it is smaller than the sum of its proper divisors (475289312).

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

463088128 is an equidigital number, since it uses as much as digits as its factorization.

463088128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12828 (or 12812 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 463088128 is about 21519.4825216593. The cubic root of 463088128 is about 773.6678484103.

The spelling of 463088128 in words is "four hundred sixty-three million, eighty-eight thousand, one hundred twenty-eight".