263248128 has 432 divisors, whose sum is σ = 964244736. Its totient is φ = 67829760.

The previous prime is 263248099. The next prime is 263248169. The reversal of 263248128 is 821842362.

263248128 is a `hidden beast` number, since 2 + 632 + 4 + 8 + 12 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 263248092 and 263248101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5601001 + ... + 5601047.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048).

Almost surely, 2^263248128 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 263248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482122368).

263248128 is an abundant number, since it is smaller than the sum of its proper divisors (700996608).

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

263248128 is a wasteful number, since it uses less digits than its factorization.

263248128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 263248128 is about 16224.9230506650. The cubic root of 263248128 is about 640.8972830836.

The spelling of 263248128 in words is "two hundred sixty-three million, two hundred forty-eight thousand, one hundred twenty-eight".