84944328 has 64 divisors (see below), whose sum is σ = 243477120. Its totient is φ = 24192000.

The previous prime is 84944323. The next prime is 84944347. The reversal of 84944328 is 82344948.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 84944328.

It is not an unprimeable number, because it can be changed into a prime (84944323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70128 + ... + 71328.

It is an arithmetic number, because the mean of its divisors is an integer number (3804330).

Almost surely, 2^84944328 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 84944328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121738560).

84944328 is an abundant number, since it is smaller than the sum of its proper divisors (158532792).

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

84944328 is a wasteful number, since it uses less digits than its factorization.

84944328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1634 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 84944328 is about 9216.5247246454. The cubic root of 84944328 is about 439.5869539759.

The spelling of 84944328 in words is "eighty-four million, nine hundred forty-four thousand, three hundred twenty-eight".