728048480 has 192 divisors, whose sum is σ = 1886068800. Its totient is φ = 264929280.

The previous prime is 728048459. The next prime is 728048483. The reversal of 728048480 is 84840827.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728048483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8180276 + ... + 8180364.

It is an arithmetic number, because the mean of its divisors is an integer number (9823275).

Almost surely, 2^728048480 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 728048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943034400).

728048480 is an abundant number, since it is smaller than the sum of its proper divisors (1158020320).

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

728048480 is a wasteful number, since it uses less digits than its factorization.

728048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 41.

The square root of 728048480 is about 26982.3735056796. The cubic root of 728048480 is about 899.6082574947.

The spelling of 728048480 in words is "seven hundred twenty-eight million, forty-eight thousand, four hundred eighty".