66652728 has 64 divisors (see below), whose sum is σ = 173905920. Its totient is φ = 21264000.

The previous prime is 66652673. The next prime is 66652753. The reversal of 66652728 is 82725666.

66652728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66652728² = 8885172299683968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66652728.

It is a congruent number.

It is an unprimeable number.

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, 74701 + ... + 75587.

It is an arithmetic number, because the mean of its divisors is an integer number (2717280).

Almost surely, 2^66652728 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 66652728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86952960).

66652728 is an abundant number, since it is smaller than the sum of its proper divisors (107253192).

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

66652728 is a wasteful number, since it uses less digits than its factorization.

66652728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1024 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 66652728 is about 8164.1121991310. The cubic root of 66652728 is about 405.4518718064.

The spelling of 66652728 in words is "sixty-six million, six hundred fifty-two thousand, seven hundred twenty-eight".