728192415 has 32 divisors (see below), whose sum is σ = 1175731200. Its totient is φ = 384848000.

The previous prime is 728192389. The next prime is 728192417. The reversal of 728192415 is 514291827.

Together with 447538784 it forms a betrothed pair.

It is not a de Polignac number, because 728192415 - 2⁷ = 728192287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728192417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012426 + ... + 1013144.

It is an arithmetic number, because the mean of its divisors is an integer number (36741600).

Almost surely, 2^728192415 is an apocalyptic number.

728192415 is a deficient number, since it is larger than the sum of its proper divisors (447538785).

728192415 is a wasteful number, since it uses less digits than its factorization.

728192415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247.

The product of its digits is 40320, while the sum is 39.

The square root of 728192415 is about 26985.0405780684. The cubic root of 728192415 is about 899.6675376965.

The spelling of 728192415 in words is "seven hundred twenty-eight million, one hundred ninety-two thousand, four hundred fifteen".