66412728 has 48 divisors (see below), whose sum is σ = 180273600. Its totient is φ = 22087680.

The previous prime is 66412711. The next prime is 66412729. The reversal of 66412728 is 82721466.

66412728 is a `hidden beast` number, since 6 + 641 + 2 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66412692 and 66412701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66412729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45433 + ... + 46871.

It is an arithmetic number, because the mean of its divisors is an integer number (3755700).

Almost surely, 2^66412728 is an apocalyptic number.

It is an amenable number.

66412728 is an abundant number, since it is smaller than the sum of its proper divisors (113860872).

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

66412728 is a wasteful number, since it uses less digits than its factorization.

66412728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2085 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 66412728 is about 8149.4004687462. The cubic root of 66412728 is about 404.9646425466.

The spelling of 66412728 in words is "sixty-six million, four hundred twelve thousand, seven hundred twenty-eight".