28701 has 8 divisors (see below), whose sum is σ = 42560. Its totient is φ = 19116.

The previous prime is 28697. The next prime is 28703. The reversal of 28701 is 10782.

It is not a de Polignac number, because 28701 - 2² = 28697 is a prime.

It is a Duffinian number.

28701 is a lucky number.

It is a nialpdrome in base 9 and base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28701.

It is not an unprimeable number, because it can be changed into a prime (28703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505 + ... + 558.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2²⁸⁷⁰¹ is an apocalyptic number.

It is an amenable number.

28701 is a deficient number, since it is larger than the sum of its proper divisors (13859).

28701 is a wasteful number, since it uses less digits than its factorization.

28701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 28701 is about 169.4136948419. The cubic root of 28701 is about 30.6172144585.

It can be divided in two parts, 28 and 701, that added together give a 6-th power (729 = 3⁶).

The spelling of 28701 in words is "twenty-eight thousand, seven hundred one".