128763 has 16 divisors (see below), whose sum is σ = 201600. Its totient is φ = 81000.

The previous prime is 128761. The next prime is 128767. The reversal of 128763 is 367821.

128763 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 128763 - 2¹ = 128761 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

128763 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (128761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹²⁸⁷⁶³ is an apocalyptic number.

128763 is a deficient number, since it is larger than the sum of its proper divisors (72837).

128763 is a wasteful number, since it uses less digits than its factorization.

128763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 128763 is about 358.8356169613. The cubic root of 128763 is about 50.4967811561.

The spelling of 128763 in words is "one hundred twenty-eight thousand, seven hundred sixty-three".