728122033 has 2 divisors, whose sum is σ = 728122034. Its totient is φ = 728122032.

The previous prime is 728121991. The next prime is 728122037. The reversal of 728122033 is 330221827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 588693169 + 139428864 = 24263^2 + 11808^2 .

It is a cyclic number.

It is not a de Polignac number, because 728122033 - 2²¹ = 726024881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 728121992 and 728122010.

It is not a weakly prime, because it can be changed into another prime (728122037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364061016 + 364061017.

It is an arithmetic number, because the mean of its divisors is an integer number (364061017).

Almost surely, 2^728122033 is an apocalyptic number.

It is an amenable number.

728122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

728122033 is an equidigital number, since it uses as much as digits as its factorization.

728122033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 728122033 is about 26983.7364536493. The cubic root of 728122033 is about 899.6385515662.

The spelling of 728122033 in words is "seven hundred twenty-eight million, one hundred twenty-two thousand, thirty-three".