66028032 has 240 divisors, whose sum is σ = 229806720. Its totient is φ = 17842176.

The previous prime is 66028007. The next prime is 66028037. The reversal of 66028032 is 23082066.

It is a super-3 number, since 3×66028032³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66027987 and 66028005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66028037) 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, 741844 + ... + 741932.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 2^66028032 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 66028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

66028032 is an abundant number, since it is smaller than the sum of its proper divisors (163778688).

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

66028032 is a wasteful number, since it uses less digits than its factorization.

66028032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66028032 is about 8125.7634718222. The cubic root of 66028032 is about 404.1812081257.

The spelling of 66028032 in words is "sixty-six million, twenty-eight thousand, thirty-two".