728579280 has 480 divisors, whose sum is σ = 2823247872. Its totient is φ = 153753600.

The previous prime is 728579261. The next prime is 728579297. The reversal of 728579280 is 82975827.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10261645 + ... + 10261715.

Almost surely, 2^728579280 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 728579280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411623936).

728579280 is an abundant number, since it is smaller than the sum of its proper divisors (2094668592).

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

728579280 is a wasteful number, since it uses less digits than its factorization.

728579280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 728579280 is about 26992.2077644642. The cubic root of 728579280 is about 899.8268308802.

The spelling of 728579280 in words is "seven hundred twenty-eight million, five hundred seventy-nine thousand, two hundred eighty".