161928 has 48 divisors (see below), whose sum is σ = 475020. Its totient is φ = 49536.

The previous prime is 161923. The next prime is 161947. The reversal of 161928 is 829161.

It can be written as a sum of positive squares in 2 ways, for example, as 161604 + 324 = 402^2 + 18^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (161921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 850 + ... + 1022.

2¹⁶¹⁹²⁸ is an apocalyptic number.

161928 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 161928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237510).

161928 is an abundant number, since it is smaller than the sum of its proper divisors (313092).

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

161928 is a wasteful number, since it uses less digits than its factorization.

161928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 161928 is about 402.4027832906. The cubic root of 161928 is about 54.5055404967.

It can be divided in two parts, 161 and 928, that added together give a square (1089 = 33²).

The spelling of 161928 in words is "one hundred sixty-one thousand, nine hundred twenty-eight".