728832272 has 60 divisors (see below), whose sum is σ = 1646596620. Its totient is φ = 311609088.

The previous prime is 728832239. The next prime is 728832281. The reversal of 728832272 is 272238827.

It can be written as a sum of positive squares in 2 ways, for example, as 205520896 + 523311376 = 14336^2 + 22876^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435854 + ... + 437522.

It is an arithmetic number, because the mean of its divisors is an integer number (27443277).

Almost surely, 2^728832272 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 728832272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823298310).

728832272 is an abundant number, since it is smaller than the sum of its proper divisors (917764348).

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

728832272 is a wasteful number, since it uses less digits than its factorization.

728832272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2235 counting only the distinct ones).

The product of its digits is 150528, while the sum is 41.

The square root of 728832272 is about 26996.8937472443. The cubic root of 728832272 is about 899.9309708374.

The spelling of 728832272 in words is "seven hundred twenty-eight million, eight hundred thirty-two thousand, two hundred seventy-two".