35728993 has 2 divisors, whose sum is σ = 35728994. Its totient is φ = 35728992.

The previous prime is 35728991. The next prime is 35728997. The reversal of 35728993 is 39982753.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35605089 + 123904 = 5967^2 + 352^2 .

It is an emirp because it is prime and its reverse (39982753) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35728993 - 2¹ = 35728991 is a prime.

Together with 35728991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (35728991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17864496 + 17864497.

It is an arithmetic number, because the mean of its divisors is an integer number (17864497).

Almost surely, 2^35728993 is an apocalyptic number.

It is an amenable number.

35728993 is a deficient number, since it is larger than the sum of its proper divisors (1).

35728993 is an equidigital number, since it uses as much as digits as its factorization.

35728993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 408240, while the sum is 46.

The square root of 35728993 is about 5977.3734198225. The cubic root of 35728993 is about 329.3620764696.

It can be divided in two parts, 35 and 728993, that added together give a triangular number (729028 = T₁₂₀₇).

The spelling of 35728993 in words is "thirty-five million, seven hundred twenty-eight thousand, nine hundred ninety-three".