728546520 has 64 divisors (see below), whose sum is σ = 2353770720. Its totient is φ = 179334144.

The previous prime is 728546519. The next prime is 728546521. The reversal of 728546520 is 25645827.

It is an interprime number because it is at equal distance from previous prime (728546519) and next prime (728546521).

It is a super-2 number, since 2×728546520² = 1061560063608220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728546521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231949 + ... + 235068.

Almost surely, 2^728546520 is an apocalyptic number.

It is an amenable number.

728546520 is an abundant number, since it is smaller than the sum of its proper divisors (1625224200).

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

728546520 is a wasteful number, since it uses less digits than its factorization.

728546520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467044 (or 467040 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 728546520 is about 26991.6009158405. The cubic root of 728546520 is about 899.8133440071.

The spelling of 728546520 in words is "seven hundred twenty-eight million, five hundred forty-six thousand, five hundred twenty".