728480400 has 60 divisors (see below), whose sum is σ = 2333569392. Its totient is φ = 194261120.

The previous prime is 728480381. The next prime is 728480407. The reversal of 728480400 is 4084827.

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

It is a super-5 number, since 5×728480400⁵ (a number of 46 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (728480407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302334 + ... + 304733.

Almost surely, 2^728480400 is an apocalyptic number.

It is an amenable number.

728480400 is an abundant number, since it is smaller than the sum of its proper divisors (1605088992).

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

728480400 is a wasteful number, since it uses less digits than its factorization.

728480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607088 (or 607077 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 728480400 is about 26990.3760625894. The cubic root of 728480400 is about 899.7861220171.

The spelling of 728480400 in words is "seven hundred twenty-eight million, four hundred eighty thousand, four hundred".