263728128 has 66 divisors (see below), whose sum is σ = 705338884. Its totient is φ = 87609344.

The previous prime is 263728121. The next prime is 263728141. The reversal of 263728128 is 821827362.

It is not an unprimeable number, because it can be changed into a prime (263728121) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 899950 + ... + 900242.

Almost surely, 2^263728128 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 263728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352669442).

263728128 is an abundant number, since it is smaller than the sum of its proper divisors (441610756).

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

263728128 is an frugal number, since it uses more digits than its factorization.

263728128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 298 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 263728128 is about 16239.7083717658. The cubic root of 263728128 is about 641.2865785517.

The spelling of 263728128 in words is "two hundred sixty-three million, seven hundred twenty-eight thousand, one hundred twenty-eight".