166337028 has 144 divisors (see below), whose sum is σ = 501446400. Its totient is φ = 45826560.

The previous prime is 166337023. The next prime is 166337033. The reversal of 166337028 is 820733661.

It is a happy number.

166337028 is a `hidden beast` number, since 16 + 633 + 7 + 0 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (166337023) and next prime (166337033).

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 = 166336983 and 166337001.

It is not an unprimeable number, because it can be changed into a prime (166337021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406488 + ... + 406896.

Almost surely, 2^166337028 is an apocalyptic number.

166337028 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 166337028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250723200).

166337028 is an abundant number, since it is smaller than the sum of its proper divisors (335109372).

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

166337028 is a wasteful number, since it uses less digits than its factorization.

166337028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 166337028 is about 12897.1713177735. The cubic root of 166337028 is about 549.9581543921.

The spelling of 166337028 in words is "one hundred sixty-six million, three hundred thirty-seven thousand, twenty-eight".