66829728 has 72 divisors (see below), whose sum is σ = 204083712. Its totient is φ = 19092864.

The previous prime is 66829699. The next prime is 66829751. The reversal of 66829728 is 82792866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2400 + ... + 11807.

It is an arithmetic number, because the mean of its divisors is an integer number (2834496).

Almost surely, 2^66829728 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 66829728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102041856).

66829728 is an abundant number, since it is smaller than the sum of its proper divisors (137253984).

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

66829728 is a wasteful number, since it uses less digits than its factorization.

66829728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14234 (or 14219 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 66829728 is about 8174.9451374306. The cubic root of 66829728 is about 405.8104545268.

The spelling of 66829728 in words is "sixty-six million, eight hundred twenty-nine thousand, seven hundred twenty-eight".