728287560 has 768 divisors, whose sum is σ = 3321077760. Its totient is φ = 133539840.

The previous prime is 728287487. The next prime is 728287583. The reversal of 728287560 is 65782827.

728287560 is a `hidden beast` number, since 7 + 2 + 8 + 2 + 87 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 15495457 + ... + 15495503.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2^728287560 is an apocalyptic number.

728287560 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 728287560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660538880).

728287560 is an abundant number, since it is smaller than the sum of its proper divisors (2592790200).

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

728287560 is a wasteful number, since it uses less digits than its factorization.

728287560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 728287560 is about 26986.8034416824. The cubic root of 728287560 is about 899.7067192545.

The spelling of 728287560 in words is "seven hundred twenty-eight million, two hundred eighty-seven thousand, five hundred sixty".