1008728057 has 2 divisors, whose sum is σ = 1008728058. Its totient is φ = 1008728056.

The previous prime is 1008728041. The next prime is 1008728093. The reversal of 1008728057 is 7508278001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 928786576 + 79941481 = 30476^2 + 8941^2 .

It is a cyclic number.

It is not a de Polignac number, because 1008728057 - 2⁴ = 1008728041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1008728057.

It is not a weakly prime, because it can be changed into another prime (1008728557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504364028 + 504364029.

It is an arithmetic number, because the mean of its divisors is an integer number (504364029).

Almost surely, 2^1008728057 is an apocalyptic number.

It is an amenable number.

1008728057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008728057 is an equidigital number, since it uses as much as digits as its factorization.

1008728057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 1008728057 is about 31760.4794831564. The cubic root of 1008728057 is about 1002.9009288079.

The spelling of 1008728057 in words is "one billion, eight million, seven hundred twenty-eight thousand, fifty-seven".