84419328 has 144 divisors (see below), whose sum is σ = 263725056. Its totient is φ = 23470080.

The previous prime is 84419273. The next prime is 84419353. The reversal of 84419328 is 82391448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220225 + ... + 220607.

It is an arithmetic number, because the mean of its divisors is an integer number (1831424).

Almost surely, 2^84419328 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 84419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131862528).

84419328 is an abundant number, since it is smaller than the sum of its proper divisors (179305728).

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

84419328 is a wasteful number, since it uses less digits than its factorization.

84419328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 84419328 is about 9187.9991292990. Note that the first 3 decimals coincide. The cubic root of 84419328 is about 438.6794566823.

The spelling of 84419328 in words is "eighty-four million, four hundred nineteen thousand, three hundred twenty-eight".