728473900 has 144 divisors (see below), whose sum is σ = 1994872320. Its totient is φ = 224294400.

The previous prime is 728473891. The next prime is 728473909. The reversal of 728473900 is 9374827.

728473900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (728473891) and next prime (728473909).

It is not an unprimeable number, because it can be changed into a prime (728473909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684769 + ... + 685831.

It is an arithmetic number, because the mean of its divisors is an integer number (13853280).

Almost surely, 2^728473900 is an apocalyptic number.

728473900 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 728473900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997436160).

728473900 is an abundant number, since it is smaller than the sum of its proper divisors (1266398420).

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

728473900 is a wasteful number, since it uses less digits than its factorization.

728473900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 728473900 is about 26990.2556490301. The cubic root of 728473900 is about 899.7834458402.

The spelling of 728473900 in words is "seven hundred twenty-eight million, four hundred seventy-three thousand, nine hundred".