728916192 has 96 divisors (see below), whose sum is σ = 2147312160. Its totient is φ = 240537600.

The previous prime is 728916137. The next prime is 728916203. The reversal of 728916192 is 291619827.

728916192 is a `hidden beast` number, since 7 + 28 + 9 + 1 + 619 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 83088 + ... + 91440.

It is an arithmetic number, because the mean of its divisors is an integer number (22367835).

Almost surely, 2^728916192 is an apocalyptic number.

728916192 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728916192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073656080).

728916192 is an abundant number, since it is smaller than the sum of its proper divisors (1418395968).

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

728916192 is a wasteful number, since it uses less digits than its factorization.

728916192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8473 (or 8459 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 728916192 is about 26998.4479553918. The cubic root of 728916192 is about 899.9655097894.

The spelling of 728916192 in words is "seven hundred twenty-eight million, nine hundred sixteen thousand, one hundred ninety-two".