181441728 has 224 divisors, whose sum is σ = 591433920. Its totient is φ = 54190080.

The previous prime is 181441723. The next prime is 181441801. The reversal of 181441728 is 827144181.

It is a super-2 number, since 2×181441728² = 65842201319251968, which contains 22 as substring.

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

Its product of digits (14336) is a multiple of the sum of its prime divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 181441692 and 181441701.

It is not an unprimeable number, because it can be changed into a prime (181441721) 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, 920926 + ... + 921122.

It is an arithmetic number, because the mean of its divisors is an integer number (2640330).

Almost surely, 2^181441728 is an apocalyptic number.

181441728 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 181441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295716960).

181441728 is an abundant number, since it is smaller than the sum of its proper divisors (409992192).

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

181441728 is a wasteful number, since it uses less digits than its factorization.

181441728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 181441728 is about 13470.0307349315. The cubic root of 181441728 is about 566.1250748490.

The spelling of 181441728 in words is "one hundred eighty-one million, four hundred forty-one thousand, seven hundred twenty-eight".