728800 has 36 divisors (see below), whose sum is σ = 1781136. Its totient is φ = 291200.

The previous prime is 728771. The next prime is 728809. The reversal of 728800 is 8827.

728800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×728800² = 1062298880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728809) by changing a digit.

728800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 345 + ... + 1255.

It is an arithmetic number, because the mean of its divisors is an integer number (49476).

2⁷²⁸⁸⁰⁰ 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 728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890568).

728800 is an abundant number, since it is smaller than the sum of its proper divisors (1052336).

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

728800 is a wasteful number, since it uses less digits than its factorization.

728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 728800 is about 853.6978388165. The cubic root of 728800 is about 89.9917687945.

The spelling of 728800 in words is "seven hundred twenty-eight thousand, eight hundred".