161828928 has 280 divisors, whose sum is σ = 531083520. Its totient is φ = 48522240.

The previous prime is 161828923. The next prime is 161828929. The reversal of 161828928 is 829828161.

It is a happy number.

161828928 is a `hidden beast` number, since 1 + 618 + 2 + 8 + 9 + 28 = 666.

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

Its product of digits (110592) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (161828923) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3053350 + ... + 3053402.

Almost surely, 2^161828928 is an apocalyptic number.

161828928 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 161828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265541760).

161828928 is an abundant number, since it is smaller than the sum of its proper divisors (369254592).

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

161828928 is a wasteful number, since it uses less digits than its factorization.

161828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 161828928 is about 12721.1999434016. The cubic root of 161828928 is about 544.9442223308.

The spelling of 161828928 in words is "one hundred sixty-one million, eight hundred twenty-eight thousand, nine hundred twenty-eight".