263028864 has 128 divisors (see below), whose sum is σ = 815184000. Its totient is φ = 75113472.

The previous prime is 263028853. The next prime is 263028901. The reversal of 263028864 is 468820362.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 130714 + ... + 132710.

It is an arithmetic number, because the mean of its divisors is an integer number (6368625).

Almost surely, 2^263028864 is an apocalyptic number.

263028864 is a gapful number since it is divisible by the number (24) 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 263028864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407592000).

263028864 is an abundant number, since it is smaller than the sum of its proper divisors (552155136).

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

263028864 is an equidigital number, since it uses as much as digits as its factorization.

263028864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 263028864 is about 16218.1646310549. The cubic root of 263028864 is about 640.7192954483.

The spelling of 263028864 in words is "two hundred sixty-three million, twenty-eight thousand, eight hundred sixty-four".