728353080 has 256 divisors, whose sum is σ = 2988518400. Its totient is φ = 153653760.

The previous prime is 728353063. The next prime is 728353081. The reversal of 728353080 is 80353827.

728353080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728353081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94575 + ... + 101985.

It is an arithmetic number, because the mean of its divisors is an integer number (11673900).

Almost surely, 2^728353080 is an apocalyptic number.

728353080 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 728353080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494259200).

728353080 is an abundant number, since it is smaller than the sum of its proper divisors (2260165320).

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

728353080 is a wasteful number, since it uses less digits than its factorization.

728353080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7451 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 728353080 is about 26988.0173410349. The cubic root of 728353080 is about 899.7336989897.

The spelling of 728353080 in words is "seven hundred twenty-eight million, three hundred fifty-three thousand, eighty".