84728 has 32 divisors (see below), whose sum is σ = 194400. Its totient is φ = 33792.

The previous prime is 84719. The next prime is 84731. The reversal of 84728 is 82748.

84728 = 107² + 108² + ... + 113².

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 84728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 908 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2⁸⁴⁷²⁸ 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 84728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200).

84728 is an abundant number, since it is smaller than the sum of its proper divisors (109672).

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

84728 is a wasteful number, since it uses less digits than its factorization.

84728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 84728 is about 291.0807448115. The cubic root of 84728 is about 43.9213470898.

It can be divided in two parts, 8472 and 8, that multiplied together give a palindrome (67776).

The spelling of 84728 in words is "eighty-four thousand, seven hundred twenty-eight".