728802873 has 32 divisors (see below), whose sum is σ = 1102896000. Its totient is φ = 475538688.

The previous prime is 728802827. The next prime is 728802883. The reversal of 728802873 is 378208827.

728802873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 728802873 - 2¹³ = 728794681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (728802803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268678 + ... + 271376.

It is an arithmetic number, because the mean of its divisors is an integer number (34465500).

Almost surely, 2^728802873 is an apocalyptic number.

728802873 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

728802873 is a deficient number, since it is larger than the sum of its proper divisors (374093127).

728802873 is a wasteful number, since it uses less digits than its factorization.

728802873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 728802873 is about 26996.3492531861. The cubic root of 728802873 is about 899.9188704647.

The spelling of 728802873 in words is "seven hundred twenty-eight million, eight hundred two thousand, eight hundred seventy-three".