166348728 has 360 divisors, whose sum is σ = 605832480. Its totient is φ = 42456960.

The previous prime is 166348709. The next prime is 166348733. The reversal of 166348728 is 827843661.

166348728 is a `hidden beast` number, since 1 + 6 + 634 + 8 + 7 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (387072) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5366073 + ... + 5366103.

It is an arithmetic number, because the mean of its divisors is an integer number (1682868).

Almost surely, 2^166348728 is an apocalyptic number.

166348728 is a gapful number since it is divisible by the number (18) 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 166348728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302916240).

166348728 is an abundant number, since it is smaller than the sum of its proper divisors (439483752).

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

166348728 is a wasteful number, since it uses less digits than its factorization.

166348728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 56 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 166348728 is about 12897.6248976313. The cubic root of 166348728 is about 549.9710486138.

The spelling of 166348728 in words is "one hundred sixty-six million, three hundred forty-eight thousand, seven hundred twenty-eight".