728352768 has 192 divisors, whose sum is σ = 2284027200. Its totient is φ = 203489280.

The previous prime is 728352767. The next prime is 728352769. The reversal of 728352768 is 867253827.

It is an interprime number because it is at equal distance from previous prime (728352767) and next prime (728352769).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (728352761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878178 + ... + 879006.

It is an arithmetic number, because the mean of its divisors is an integer number (11895975).

Almost surely, 2^728352768 is an apocalyptic number.

728352768 is a gapful number since it is divisible by the number (78) 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 728352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142013600).

728352768 is an abundant number, since it is smaller than the sum of its proper divisors (1555674432).

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

728352768 is a wasteful number, since it uses less digits than its factorization.

728352768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 858 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 728352768 is about 26988.0115606912. The cubic root of 728352768 is about 899.7335705186.

The spelling of 728352768 in words is "seven hundred twenty-eight million, three hundred fifty-two thousand, seven hundred sixty-eight".