263723328 has 168 divisors, whose sum is σ = 834481440. Its totient is φ = 78965760.

The previous prime is 263723321. The next prime is 263723351. The reversal of 263723328 is 823327362.

It is a happy number.

263723328 is a `hidden beast` number, since 263 + 72 + 3 + 328 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 263723292 and 263723301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263723321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677758 + ... + 678146.

Almost surely, 2^263723328 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 263723328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417240720).

263723328 is an abundant number, since it is smaller than the sum of its proper divisors (570758112).

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

263723328 is a wasteful number, since it uses less digits than its factorization.

263723328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 512 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 263723328 is about 16239.5605851883. The cubic root of 263723328 is about 641.2826879362.

The spelling of 263723328 in words is "two hundred sixty-three million, seven hundred twenty-three thousand, three hundred twenty-eight".