263746728 has 48 divisors (see below), whose sum is σ = 816360480. Its totient is φ = 75356064.

The previous prime is 263746723. The next prime is 263746757. The reversal of 263746728 is 827647362.

263746728 is a `hidden beast` number, since 2 + 637 + 4 + 6 + 7 + 2 + 8 = 666.

It is a super-4 number, since 4×263746728⁴ (a number of 35 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (263746723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261150 + ... + 262157.

It is an arithmetic number, because the mean of its divisors is an integer number (17007510).

Almost surely, 2^263746728 is an apocalyptic number.

263746728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

263746728 is an abundant number, since it is smaller than the sum of its proper divisors (552613752).

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

263746728 is a wasteful number, since it uses less digits than its factorization.

263746728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523326 (or 523319 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 263746728 is about 16240.2810320511. The cubic root of 263746728 is about 641.3016542410.

The spelling of 263746728 in words is "two hundred sixty-three million, seven hundred forty-six thousand, seven hundred twenty-eight".