728514080 has 96 divisors (see below), whose sum is σ = 1975881600. Its totient is φ = 248647680.

The previous prime is 728514071. The next prime is 728514091. The reversal of 728514080 is 80415827.

It is a Cunningham number, because it is equal to 26991²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 728514080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268571 + ... + 271269.

It is an arithmetic number, because the mean of its divisors is an integer number (20582100).

Almost surely, 2^728514080 is an apocalyptic number.

728514080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728514080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987940800).

728514080 is an abundant number, since it is smaller than the sum of its proper divisors (1247367520).

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

728514080 is a wasteful number, since it uses less digits than its factorization.

728514080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 728514080 is about 26990.9999814753. Note that the first 4 decimals coincide. The cubic root of 728514080 is about 899.7999884755.

The spelling of 728514080 in words is "seven hundred twenty-eight million, five hundred fourteen thousand, eighty".