728286720 has 640 divisors, whose sum is σ = 3016949760. Its totient is φ = 145981440.

The previous prime is 728286719. The next prime is 728286781. The reversal of 728286720 is 27682827.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23493105 + ... + 23493135.

It is an arithmetic number, because the mean of its divisors is an integer number (4713984).

Almost surely, 2^728286720 is an apocalyptic number.

728286720 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 728286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508474880).

728286720 is an abundant number, since it is smaller than the sum of its proper divisors (2288663040).

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

728286720 is a wasteful number, since it uses less digits than its factorization.

728286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 728286720 is about 26986.7878785157. The cubic root of 728286720 is about 899.7063733500.

The spelling of 728286720 in words is "seven hundred twenty-eight million, two hundred eighty-six thousand, seven hundred twenty".