166828032 has 192 divisors, whose sum is σ = 566092800. Its totient is φ = 47554560.

The previous prime is 166828027. The next prime is 166828049. The reversal of 166828032 is 230828661.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386857 + ... + 387287.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^166828032 is an apocalyptic number.

166828032 is a gapful number since it is divisible by the number (12) 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 166828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

166828032 is an abundant number, since it is smaller than the sum of its proper divisors (399264768).

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

166828032 is an equidigital number, since it uses as much as digits as its factorization.

166828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 166828032 is about 12916.1926278606. The cubic root of 166828032 is about 550.4987563916.

The spelling of 166828032 in words is "one hundred sixty-six million, eight hundred twenty-eight thousand, thirty-two".