728263800 has 144 divisors (see below), whose sum is σ = 2668166280. Its totient is φ = 176544000.

The previous prime is 728263793. The next prime is 728263807. The reversal of 728263800 is 8362827.

It is a happy number.

728263800 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 (728263793) and next prime (728263807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728263807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1410 + ... + 38190.

Almost surely, 2^728263800 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 728263800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334083140).

728263800 is an abundant number, since it is smaller than the sum of its proper divisors (1939902480).

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

728263800 is a wasteful number, since it uses less digits than its factorization.

728263800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36814 (or 36802 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 728263800 is about 26986.3632229317. The cubic root of 728263800 is about 899.6969349947.

The spelling of 728263800 in words is "seven hundred twenty-eight million, two hundred sixty-three thousand, eight hundred".