728254800 has 900 divisors, whose sum is σ = 3404707680. Its totient is φ = 145566720.

The previous prime is 728254771. The next prime is 728254811. The reversal of 728254800 is 8452827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (900).

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 179 ways as a sum of consecutive naturals, for example, 38329191 + ... + 38329209.

Almost surely, 2^728254800 is an apocalyptic number.

728254800 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 728254800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702353840).

728254800 is an abundant number, since it is smaller than the sum of its proper divisors (2676452880).

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

728254800 is a wasteful number, since it uses less digits than its factorization.

728254800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 728254800 is about 26986.1964715297. The cubic root of 728254800 is about 899.6932287801.

The spelling of 728254800 in words is "seven hundred twenty-eight million, two hundred fifty-four thousand, eight hundred".