1008728033 has 2 divisors, whose sum is σ = 1008728034. Its totient is φ = 1008728032.

The previous prime is 1008727991. The next prime is 1008728041. The reversal of 1008728033 is 3308278001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 886669729 + 122058304 = 29777^2 + 11048^2 .

It is a cyclic number.

It is not a de Polignac number, because 1008728033 - 2⁸ = 1008727777 is a prime.

It is not a weakly prime, because it can be changed into another prime (1008728093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504364016 + 504364017.

It is an arithmetic number, because the mean of its divisors is an integer number (504364017).

Almost surely, 2^1008728033 is an apocalyptic number.

It is an amenable number.

1008728033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008728033 is an equidigital number, since it uses as much as digits as its factorization.

1008728033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1008728033 is about 31760.4791053284. The cubic root of 1008728033 is about 1002.9009208541.

The spelling of 1008728033 in words is "one billion, eight million, seven hundred twenty-eight thousand, thirty-three".