263742528 has 112 divisors (see below), whose sum is σ = 810833024. Its totient is φ = 74096640.

The previous prime is 263742509. The next prime is 263742529. The reversal of 263742528 is 825247362.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (263742529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80376 + ... + 83592.

Almost surely, 2^263742528 is an apocalyptic number.

263742528 is a gapful number since it is divisible by the number (28) 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 263742528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405416512).

263742528 is an abundant number, since it is smaller than the sum of its proper divisors (547090496).

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

263742528 is a wasteful number, since it uses less digits than its factorization.

263742528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3290 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 263742528 is about 16240.1517234292. The cubic root of 263742528 is about 641.2982501151.

The spelling of 263742528 in words is "two hundred sixty-three million, seven hundred forty-two thousand, five hundred twenty-eight".