102728457 has 12 divisors (see below), whose sum is σ = 159800004. Its totient is φ = 63217440.

The previous prime is 102728443. The next prime is 102728473. The reversal of 102728457 is 754827201.

It can be written as a sum of positive squares in 2 ways, for example, as 37748736 + 64979721 = 6144^2 + 8061^2 .

It is not a de Polignac number, because 102728457 - 2⁸ = 102728201 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (102728407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 438894 + ... + 439127.

It is an arithmetic number, because the mean of its divisors is an integer number (13316667).

Almost surely, 2^102728457 is an apocalyptic number.

It is an amenable number.

102728457 is a deficient number, since it is larger than the sum of its proper divisors (57071547).

102728457 is a wasteful number, since it uses less digits than its factorization.

102728457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878040 (or 878037 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 102728457 is about 10135.5047728271. The cubic root of 102728457 is about 468.3425199106.

The spelling of 102728457 in words is "one hundred two million, seven hundred twenty-eight thousand, four hundred fifty-seven".