728937 has 24 divisors (see below), whose sum is σ = 1185600. Its totient is φ = 427680.

The previous prime is 728929. The next prime is 728941. The reversal of 728937 is 739827.

It is not a de Polignac number, because 728937 - 2³ = 728929 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728937.

It is not an unprimeable number, because it can be changed into a prime (728927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3564 + ... + 3762.

It is an arithmetic number, because the mean of its divisors is an integer number (49400).

2⁷²⁸⁹³⁷ is an apocalyptic number.

It is an amenable number.

728937 is a deficient number, since it is larger than the sum of its proper divisors (456663).

728937 is a wasteful number, since it uses less digits than its factorization.

728937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 250 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 728937 is about 853.7780742090. The cubic root of 728937 is about 89.9974073327.

It can be divided in two parts, 72893 and 7, that added together give a square (72900 = 270²).

The spelling of 728937 in words is "seven hundred twenty-eight thousand, nine hundred thirty-seven".