66583728 has 80 divisors (see below), whose sum is σ = 193638400. Its totient is φ = 21902400.

The previous prime is 66583723. The next prime is 66583787. The reversal of 66583728 is 82738566.

66583728 is a `hidden beast` number, since 66 + 583 + 7 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (66583723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33153 + ... + 35103.

It is an arithmetic number, because the mean of its divisors is an integer number (2420480).

Almost surely, 2^66583728 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 66583728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96819200).

66583728 is an abundant number, since it is smaller than the sum of its proper divisors (127054672).

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

66583728 is a wasteful number, since it uses less digits than its factorization.

66583728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2035 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 66583728 is about 8159.8852933114. The cubic root of 66583728 is about 405.3119133514.

The spelling of 66583728 in words is "sixty-six million, five hundred eighty-three thousand, seven hundred twenty-eight".