728273400 has 96 divisors (see below), whose sum is σ = 2268188160. Its totient is φ = 193299840.

The previous prime is 728273393. The next prime is 728273407. The reversal of 728273400 is 4372827.

728273400 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 (728273393) and next prime (728273407).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728273407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131079 + ... + 136521.

It is an arithmetic number, because the mean of its divisors is an integer number (23626960).

Almost surely, 2^728273400 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 728273400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134094080).

728273400 is an abundant number, since it is smaller than the sum of its proper divisors (1539914760).

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

728273400 is a wasteful number, since it uses less digits than its factorization.

728273400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 728273400 is about 26986.5410899582. The cubic root of 728273400 is about 899.7008882566.

The spelling of 728273400 in words is "seven hundred twenty-eight million, two hundred seventy-three thousand, four hundred".