728281125 has 160 divisors (see below), whose sum is σ = 1598268672. Its totient is φ = 325296000.

The previous prime is 728281123. The next prime is 728281129. The reversal of 728281125 is 521182827.

It is not a de Polignac number, because 728281125 - 2¹ = 728281123 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 728281125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728281123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1447624 + ... + 1448126.

Almost surely, 2^728281125 is an apocalyptic number.

728281125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

728281125 is an abundant number, since it is smaller than the sum of its proper divisors (869987547).

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

728281125 is a wasteful number, since it uses less digits than its factorization.

728281125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 535 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 728281125 is about 26986.6842164798. The cubic root of 728281125 is about 899.7040693718.

It can be divided in two parts, 7282811 and 25, that added together give a triangular number (7282836 = T₃₈₁₆).

The spelling of 728281125 in words is "seven hundred twenty-eight million, two hundred eighty-one thousand, one hundred twenty-five".