728910000 has 600 divisors, whose sum is σ = 3172609440. Its totient is φ = 152064000.

The previous prime is 728909971. The next prime is 728910029. The reversal of 728910000 is 19827.

It is an interprime number because it is at equal distance from previous prime (728909971) and next prime (728910029).

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 8189956 + ... + 8190044.

Almost surely, 2^728910000 is an apocalyptic number.

728910000 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 728910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586304720).

728910000 is an abundant number, since it is smaller than the sum of its proper divisors (2443699440).

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

728910000 is a wasteful number, since it uses less digits than its factorization.

728910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 728910000 is about 26998.3332818898. Note that the first 3 decimals coincide. The cubic root of 728910000 is about 899.9629614387.

Adding to 728910000 its reverse (19827), we get a palindrome (728929827).

The spelling of 728910000 in words is "seven hundred twenty-eight million, nine hundred ten thousand".