84284928 has 320 divisors, whose sum is σ = 311646720. Its totient is φ = 21897216.

The previous prime is 84284917. The next prime is 84284951. The reversal of 84284928 is 82948248.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1257951 + ... + 1258017.

It is an arithmetic number, because the mean of its divisors is an integer number (973896).

Almost surely, 2^84284928 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 84284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155823360).

84284928 is an abundant number, since it is smaller than the sum of its proper divisors (227361792).

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

84284928 is a wasteful number, since it uses less digits than its factorization.

84284928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 84284928 is about 9180.6823275833. The cubic root of 84284928 is about 438.4465327914.

The spelling of 84284928 in words is "eighty-four million, two hundred eighty-four thousand, nine hundred twenty-eight".