728451360 has 768 divisors, whose sum is σ = 3353011200. Its totient is φ = 143327232.

The previous prime is 728451359. The next prime is 728451371. The reversal of 728451360 is 63154827.

728451360 is a `hidden beast` number, since 7 + 2 + 84 + 513 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 6682986 + ... + 6683094.

It is an arithmetic number, because the mean of its divisors is an integer number (4365900).

Almost surely, 2^728451360 is an apocalyptic number.

728451360 is a gapful number since it is divisible by the number (70) 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 728451360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676505600).

728451360 is an abundant number, since it is smaller than the sum of its proper divisors (2624559840).

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

728451360 is a wasteful number, since it uses less digits than its factorization.

728451360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 728451360 is about 26989.8380876952. The cubic root of 728451360 is about 899.7741655590.

The spelling of 728451360 in words is "seven hundred twenty-eight million, four hundred fifty-one thousand, three hundred sixty".