728713131 has 32 divisors (see below), whose sum is σ = 1053803520. Its totient is φ = 446880000.

The previous prime is 728713129. The next prime is 728713133. The reversal of 728713131 is 131317827.

It is an interprime number because it is at equal distance from previous prime (728713129) and next prime (728713133).

It is not a de Polignac number, because 728713131 - 2¹ = 728713129 is a prime.

It is a super-2 number, since 2×728713131² = 1062045654583646322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 728713092 and 728713101.

It is not an unprimeable number, because it can be changed into a prime (728713133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151006 + ... + 155756.

It is an arithmetic number, because the mean of its divisors is an integer number (32931360).

Almost surely, 2^728713131 is an apocalyptic number.

728713131 is a deficient number, since it is larger than the sum of its proper divisors (325090389).

728713131 is a wasteful number, since it uses less digits than its factorization.

728713131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4867.

The product of its digits is 7056, while the sum is 33.

The square root of 728713131 is about 26994.6870883883. The cubic root of 728713131 is about 899.8819314252.

The spelling of 728713131 in words is "seven hundred twenty-eight million, seven hundred thirteen thousand, one hundred thirty-one".