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82728 = 2333383
BaseRepresentation
bin10100001100101000
311012111000
4110030220
510121403
61435000
7463122
oct241450
9135430
1082728
1157178
123ba60
132b869
1422212
15197a3
hex14328

82728 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 27504.

The previous prime is 82727. The next prime is 82729.

82728 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (82727) and next prime (82729).

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 (82721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

282728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

82728 is an abundant number, since it is smaller than the sum of its proper divisors (147672).

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

82728 is a wasteful number, since it uses less digits than its factorization.

82728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

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

The square root of 82728 is about 287.6247555410. The cubic root of 82728 is about 43.5730046396.

The spelling of 82728 in words is "eighty-two thousand, seven hundred twenty-eight".