728781300 has 252 divisors, whose sum is σ = 2556811180. Its totient is φ = 179159040.

The previous prime is 728781299. The next prime is 728781343. The reversal of 728781300 is 3187827.

728781300 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 6 ways, for example, as 106378596 + 622402704 = 10314^2 + 24948^2 .

It is a super-2 number, since 2×728781300² = 1062244366459380000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 947316 + ... + 948084.

Almost surely, 2^728781300 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 728781300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278405590).

728781300 is an abundant number, since it is smaller than the sum of its proper divisors (1828029880).

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

728781300 is a wasteful number, since it uses less digits than its factorization.

728781300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 728781300 is about 26995.9496962044. The cubic root of 728781300 is about 899.9099909985.

The spelling of 728781300 in words is "seven hundred twenty-eight million, seven hundred eighty-one thousand, three hundred".