180728064 has 144 divisors (see below), whose sum is σ = 583275840. Its totient is φ = 54743040.

The previous prime is 180728059. The next prime is 180728099. The reversal of 180728064 is 460827081.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74844 + ... + 77220.

Almost surely, 2^180728064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291637920).

180728064 is an abundant number, since it is smaller than the sum of its proper divisors (402547776).

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

180728064 is a wasteful number, since it uses less digits than its factorization.

180728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 180728064 is about 13443.5138263774. The cubic root of 180728064 is about 565.3818537526.

The spelling of 180728064 in words is "one hundred eighty million, seven hundred twenty-eight thousand, sixty-four".