180728352 has 144 divisors (see below), whose sum is σ = 592143552. Its totient is φ = 51217920.

The previous prime is 180728341. The next prime is 180728371. The reversal of 180728352 is 253827081.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316227 + ... + 316797.

It is an arithmetic number, because the mean of its divisors is an integer number (4112108).

Almost surely, 2^180728352 is an apocalyptic number.

180728352 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 180728352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296071776).

180728352 is an abundant number, since it is smaller than the sum of its proper divisors (411415200).

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

180728352 is a wasteful number, since it uses less digits than its factorization.

180728352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 180728352 is about 13443.5245378584. The cubic root of 180728352 is about 565.3821540747.

The spelling of 180728352 in words is "one hundred eighty million, seven hundred twenty-eight thousand, three hundred fifty-two".