728362153 has 2 divisors, whose sum is σ = 728362154. Its totient is φ = 728362152.

The previous prime is 728362147. The next prime is 728362177. The reversal of 728362153 is 351263827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 684973584 + 43388569 = 26172^2 + 6587^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-728362153 is a prime.

It is a super-3 number, since 3×728362153³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (728362123) 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 as a sum of consecutive naturals, namely, 364181076 + 364181077.

It is an arithmetic number, because the mean of its divisors is an integer number (364181077).

Almost surely, 2^728362153 is an apocalyptic number.

It is an amenable number.

728362153 is a deficient number, since it is larger than the sum of its proper divisors (1).

728362153 is an equidigital number, since it uses as much as digits as its factorization.

728362153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60480, while the sum is 37.

The square root of 728362153 is about 26988.1854336300. The cubic root of 728362153 is about 899.7374349296.

The spelling of 728362153 in words is "seven hundred twenty-eight million, three hundred sixty-two thousand, one hundred fifty-three".