4166180928 has 336 divisors, whose sum is σ = 14949765376. Its totient is φ = 1079930880.

The previous prime is 4166180927. The next prime is 4166180951. The reversal of 4166180928 is 8290816614.

4166180928 is a `hidden beast` number, since 4 + 1 + 6 + 618 + 0 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166180927) 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, 3196725 + ... + 3198027.

Almost surely, 2^4166180928 is an apocalyptic number.

4166180928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4166180928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474882688).

4166180928 is an abundant number, since it is smaller than the sum of its proper divisors (10783584448).

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

4166180928 is a wasteful number, since it uses less digits than its factorization.

4166180928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 4166180928 is about 64545.9598115947. The cubic root of 4166180928 is about 1609.0864418425.

The spelling of 4166180928 in words is "four billion, one hundred sixty-six million, one hundred eighty thousand, nine hundred twenty-eight".