728400000 has 192 divisors, whose sum is σ = 2422344960. Its totient is φ = 193920000.

The previous prime is 728399983. The next prime is 728400011. The reversal of 728400000 is 4827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 728400000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199697 + ... + 1200303.

It is an arithmetic number, because the mean of its divisors is an integer number (12616380).

Almost surely, 2^728400000 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 728400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211172480).

728400000 is an abundant number, since it is smaller than the sum of its proper divisors (1693944960).

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

728400000 is an frugal number, since it uses more digits than its factorization.

728400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 617 counting only the distinct ones).

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

The square root of 728400000 is about 26988.8866017107. The cubic root of 728400000 is about 899.7530186484.

Adding to 728400000 its reverse (4827), we get a palindrome (728404827).

The spelling of 728400000 in words is "seven hundred twenty-eight million, four hundred thousand".