63800728 has 64 divisors (see below), whose sum is σ = 134611200. Its totient is φ = 28200960.

The previous prime is 63800719. The next prime is 63800729. The reversal of 63800728 is 82700836.

It is a happy number.

63800728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 63800693 and 63800702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63800729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155788 + ... + 156196.

It is an arithmetic number, because the mean of its divisors is an integer number (2103300).

Almost surely, 2^63800728 is an apocalyptic number.

63800728 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

63800728 is an abundant number, since it is smaller than the sum of its proper divisors (70810472).

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

63800728 is a wasteful number, since it uses less digits than its factorization.

63800728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 63800728 is about 7987.5357902172. The cubic root of 63800728 is about 399.5844183793.

The spelling of 63800728 in words is "sixty-three million, eight hundred thousand, seven hundred twenty-eight".