66129028 has 48 divisors (see below), whose sum is σ = 136259200. Its totient is φ = 28068768.

The previous prime is 66129013. The next prime is 66129073. The reversal of 66129028 is 82092166.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 66128984 and 66129002.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 215251 + ... + 215557.

Almost surely, 2^66129028 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 66129028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68129600).

66129028 is an abundant number, since it is smaller than the sum of its proper divisors (70130172).

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

66129028 is a wasteful number, since it uses less digits than its factorization.

66129028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 66129028 is about 8131.9756517097. The cubic root of 66129028 is about 404.3871806939.

The spelling of 66129028 in words is "sixty-six million, one hundred twenty-nine thousand, twenty-eight".