728144528 has 60 divisors (see below), whose sum is σ = 1490131188. Its totient is φ = 344547840.

The previous prime is 728144519. The next prime is 728144537. The reversal of 728144528 is 825441827.

It is an interprime number because it is at equal distance from previous prime (728144519) and next prime (728144537).

It can be written as a sum of positive squares in 6 ways, for example, as 23348224 + 704796304 = 4832^2 + 26548^2 .

It is a congruent number.

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, 712658 + ... + 713678.

Almost surely, 2^728144528 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 728144528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745065594).

728144528 is an abundant number, since it is smaller than the sum of its proper divisors (761986660).

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

728144528 is a wasteful number, since it uses less digits than its factorization.

728144528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1105 counting only the distinct ones).

The product of its digits is 143360, while the sum is 41.

The square root of 728144528 is about 26984.1532755801. The cubic root of 728144528 is about 899.6478161125.

The spelling of 728144528 in words is "seven hundred twenty-eight million, one hundred forty-four thousand, five hundred twenty-eight".