4166272728 has 192 divisors, whose sum is σ = 12383280000. Its totient is φ = 1260817920.

The previous prime is 4166272723. The next prime is 4166272729. The reversal of 4166272728 is 8272726614.

It is a happy number.

4166272728 is a `hidden beast` number, since 4 + 16 + 627 + 2 + 7 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166272723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3308563 + ... + 3309821.

It is an arithmetic number, because the mean of its divisors is an integer number (64496250).

Almost surely, 2^4166272728 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 4166272728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640000).

4166272728 is an abundant number, since it is smaller than the sum of its proper divisors (8217007272).

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

4166272728 is a wasteful number, since it uses less digits than its factorization.

4166272728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1383 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 4166272728 is about 64546.6709288713. The cubic root of 4166272728 is about 1609.0982602643.

The spelling of 4166272728 in words is "four billion, one hundred sixty-six million, two hundred seventy-two thousand, seven hundred twenty-eight".