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28782 = 2331341
BaseRepresentation
bin111000001101110
31110111000
413001232
51410112
6341130
7146625
oct70156
943430
1028782
111a696
12147a6
1310140
14a6bc
1587dc
hex706e

28782 has 32 divisors (see below), whose sum is σ = 70560. Its totient is φ = 8640.

The previous prime is 28771. The next prime is 28789.

28782 is nontrivially palindromic in base 10.

28782 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28789) by changing a digit.

28782 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682 + ... + 722.

It is an arithmetic number, because the mean of its divisors is an integer number (2205).

228782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280).

28782 is an abundant number, since it is smaller than the sum of its proper divisors (41778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28782 is a wasteful number, since it uses less digits than its factorization.

28782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 59 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 28782 is about 169.6525861872. The cubic root of 28782 is about 30.6459900529.

The spelling of 28782 in words is "twenty-eight thousand, seven hundred eighty-two".