728658949 has 16 divisors (see below), whose sum is σ = 778982400. Its totient is φ = 679586544.

The previous prime is 728658943. The next prime is 728658971. The reversal of 728658949 is 949856827.

728658949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 728658949 - 2¹³ = 728650757 is a prime.

It is a Duffinian number.

Its product of digits (8709120) is a multiple of the sum of its prime divisors (1512).

It is a junction number, because it is equal to n+sod(n) for n = 728658893 and 728658902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728658943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880674 + ... + 881500.

It is an arithmetic number, because the mean of its divisors is an integer number (48686400).

Almost surely, 2^728658949 is an apocalyptic number.

728658949 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

It is an amenable number.

728658949 is a deficient number, since it is larger than the sum of its proper divisors (50323451).

728658949 is a wasteful number, since it uses less digits than its factorization.

728658949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512.

The product of its digits is 8709120, while the sum is 58.

The square root of 728658949 is about 26993.6835018861. The cubic root of 728658949 is about 899.8596279017.

The spelling of 728658949 in words is "seven hundred twenty-eight million, six hundred fifty-eight thousand, nine hundred forty-nine".