84301728 has 96 divisors (see below), whose sum is σ = 254338560. Its totient is φ = 23950080.

The previous prime is 84301709. The next prime is 84301783. The reversal of 84301728 is 82710348.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222243 + ... + 222621.

It is an arithmetic number, because the mean of its divisors is an integer number (2649360).

Almost surely, 2^84301728 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 84301728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127169280).

84301728 is an abundant number, since it is smaller than the sum of its proper divisors (170036832).

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

84301728 is a wasteful number, since it uses less digits than its factorization.

84301728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 84301728 is about 9181.5972466668. The cubic root of 84301728 is about 438.4756618127.

The spelling of 84301728 in words is "eighty-four million, three hundred one thousand, seven hundred twenty-eight".