102728449263 has 48 divisors (see below), whose sum is σ = 154081457280. Its totient is φ = 60359904000.

The previous prime is 102728449249. The next prime is 102728449267. The reversal of 102728449263 is 362944827201.

It is not a de Polignac number, because 102728449263 - 2⁹ = 102728448751 is a prime.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102728449267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10370613 + ... + 10380513.

It is an arithmetic number, because the mean of its divisors is an integer number (3210030360).

Almost surely, 2^102728449263 is an apocalyptic number.

102728449263 is a deficient number, since it is larger than the sum of its proper divisors (51353008017).

102728449263 is an equidigital number, since it uses as much as digits as its factorization.

102728449263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10120 (or 10047 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 102728449263 in words is "one hundred two billion, seven hundred twenty-eight million, four hundred forty-nine thousand, two hundred sixty-three".