84015828 has 72 divisors (see below), whose sum is σ = 236128256. Its totient is φ = 25012800.

The previous prime is 84015821. The next prime is 84015857. The reversal of 84015828 is 82851048.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84015792 and 84015801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84015821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11613 + ... + 17403.

Almost surely, 2^84015828 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 84015828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118064128).

84015828 is an abundant number, since it is smaller than the sum of its proper divisors (152112428).

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

84015828 is a wasteful number, since it uses less digits than its factorization.

84015828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 84015828 is about 9166.0148374307. The cubic root of 84015828 is about 437.9794198124.

The spelling of 84015828 in words is "eighty-four million, fifteen thousand, eight hundred twenty-eight".