728400288 has 192 divisors, whose sum is σ = 2433715200. Its totient is φ = 189100800.

The previous prime is 728400269. The next prime is 728400311. The reversal of 728400288 is 882004827.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361203 + ... + 363213.

It is an arithmetic number, because the mean of its divisors is an integer number (12675600).

Almost surely, 2^728400288 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 728400288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216857600).

728400288 is an abundant number, since it is smaller than the sum of its proper divisors (1705314912).

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

728400288 is a wasteful number, since it uses less digits than its factorization.

728400288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 728400288 is about 26988.8919372397. The cubic root of 728400288 is about 899.7531372320.

The spelling of 728400288 in words is "seven hundred twenty-eight million, four hundred thousand, two hundred eighty-eight".