728400 has 60 divisors (see below), whose sum is σ = 2337152. Its totient is φ = 193920.

The previous prime is 728383. The next prime is 728417. The reversal of 728400 is 4827.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (728383) and next prime (728417).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728400.

It is an unprimeable number.

728400 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 11 ways as a sum of consecutive naturals, for example, 897 + ... + 1503.

2⁷²⁸⁴⁰⁰ 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 728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168576).

728400 is an abundant number, since it is smaller than the sum of its proper divisors (1608752).

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

728400 is a wasteful number, since it uses less digits than its factorization.

728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 728400 is about 853.4635317341. The cubic root of 728400 is about 89.9753018648.

It can be divided in two parts, 728 and 400, that added together give a triangular number (1128 = T₄₇).

The spelling of 728400 in words is "seven hundred twenty-eight thousand, four hundred".