728000000 has 280 divisors, whose sum is σ = 2237783856. Its totient is φ = 230400000.

The previous prime is 727999973. The next prime is 728000003. The reversal of 728000000 is 827.

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728000003) 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 27 ways as a sum of consecutive naturals, for example, 55999994 + ... + 56000006.

Almost surely, 2^728000000 is an apocalyptic number.

728000000 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 728000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118891928).

728000000 is an abundant number, since it is smaller than the sum of its proper divisors (1509783856).

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

728000000 is an frugal number, since it uses more digits than its factorization.

728000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 728000000 is about 26981.4751264641. The cubic root of 728000000 is about 899.5882890551.

Adding to 728000000 its reverse (827), we get a palindrome (728000827).

It can be divided in two parts, 72 and 8000000, that multiplied together give a square (576000000 = 24000²).

The spelling of 728000000 in words is "seven hundred twenty-eight million", and thus it is an aban number.