65800728 has 96 divisors (see below), whose sum is σ = 212655600. Its totient is φ = 18797184.

The previous prime is 65800699. The next prime is 65800729. The reversal of 65800728 is 82700856.

65800728 is a `hidden beast` number, since 6 + 580 + 0 + 72 + 8 = 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 = 65800692 and 65800701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65800729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7476 + ... + 13692.

Almost surely, 2^65800728 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 65800728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106327800).

65800728 is an abundant number, since it is smaller than the sum of its proper divisors (146854872).

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

65800728 is a wasteful number, since it uses less digits than its factorization.

65800728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6246 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 65800728 is about 8111.7647894894. The cubic root of 65800728 is about 403.7168718485.

The spelling of 65800728 in words is "sixty-five million, eight hundred thousand, seven hundred twenty-eight".