66808728 has 96 divisors (see below), whose sum is σ = 209813760. Its totient is φ = 18809280.

The previous prime is 66808727. The next prime is 66808741. The reversal of 66808728 is 82780866.

It is a super-2 number, since 2×66808728² = 8926812273955968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66808727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34851 + ... + 36717.

It is an arithmetic number, because the mean of its divisors is an integer number (2185560).

Almost surely, 2^66808728 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 66808728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104906880).

66808728 is an abundant number, since it is smaller than the sum of its proper divisors (143005032).

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

66808728 is a wasteful number, since it uses less digits than its factorization.

66808728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 66808728 is about 8173.6606242246. The cubic root of 66808728 is about 405.7679439426.

The spelling of 66808728 in words is "sixty-six million, eight hundred eight thousand, seven hundred twenty-eight".