102728 has 8 divisors (see below), whose sum is σ = 192630. Its totient is φ = 51360.

The previous prime is 102701. The next prime is 102761. The reversal of 102728 is 827201.

It can be written as a sum of positive squares in only one way, i.e., 88804 + 13924 = 298^2 + 118^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6413 + ... + 6428.

2¹⁰²⁷²⁸ is an apocalyptic number.

It is an amenable number.

102728 is a deficient number, since it is larger than the sum of its proper divisors (89902).

102728 is a wasteful number, since it uses less digits than its factorization.

102728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12847 (or 12843 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 102728 is about 320.5120902556. The cubic root of 102728 is about 46.8341825417.

Adding to 102728 its reverse (827201), we get a palindrome (929929).

The spelling of 102728 in words is "one hundred two thousand, seven hundred twenty-eight".