728705300 has 72 divisors (see below), whose sum is σ = 1638879480. Its totient is φ = 281036800.

The previous prime is 728705293. The next prime is 728705317. The reversal of 728705300 is 3507827.

728705300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 675064324 + 53640976 = 25982^2 + 7324^2 .

It is a super-2 number, since 2×728705300² = 1062022828496180000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363902 + ... + 365898.

It is an arithmetic number, because the mean of its divisors is an integer number (22762215).

Almost surely, 2^728705300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728705300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819439740).

728705300 is an abundant number, since it is smaller than the sum of its proper divisors (910174180).

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

728705300 is a wasteful number, since it uses less digits than its factorization.

728705300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 728705300 is about 26994.5420409386. The cubic root of 728705300 is about 899.8787079342.

The spelling of 728705300 in words is "seven hundred twenty-eight million, seven hundred five thousand, three hundred".