728838500 has 48 divisors (see below), whose sum is σ = 1714243440. Its totient is φ = 269107200.

The previous prime is 728838491. The next prime is 728838581. The reversal of 728838500 is 5838827.

It can be written as a sum of positive squares in 8 ways, for example, as 604471396 + 124367104 = 24586^2 + 11152^2 .

It is a congruent number.

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, 49565 + ... + 62564.

It is an arithmetic number, because the mean of its divisors is an integer number (35713405).

Almost surely, 2^728838500 is an apocalyptic number.

It is an amenable number.

728838500 is an abundant number, since it is smaller than the sum of its proper divisors (985404940).

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

728838500 is a wasteful number, since it uses less digits than its factorization.

728838500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112161 (or 112149 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 728838500 is about 26997.0090936015. The cubic root of 728838500 is about 899.9335341862.

The spelling of 728838500 in words is "seven hundred twenty-eight million, eight hundred thirty-eight thousand, five hundred".