161288928 has 192 divisors, whose sum is σ = 508032000. Its totient is φ = 49600512.

The previous prime is 161288927. The next prime is 161288947. The reversal of 161288928 is 829882161.

It is a happy number.

161288928 is a `hidden beast` number, since 1 + 612 + 8 + 8 + 9 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161288921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1160283 + ... + 1160421.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^161288928 is an apocalyptic number.

161288928 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 161288928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

161288928 is an abundant number, since it is smaller than the sum of its proper divisors (346743072).

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

161288928 is a wasteful number, since it uses less digits than its factorization.

161288928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

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

The square root of 161288928 is about 12699.9577952055. The cubic root of 161288928 is about 544.3374132269.

The spelling of 161288928 in words is "one hundred sixty-one million, two hundred eighty-eight thousand, nine hundred twenty-eight".