84224728 has 48 divisors (see below), whose sum is σ = 188701920. Its totient is φ = 35114688.

The previous prime is 84224717. The next prime is 84224731. The reversal of 84224728 is 82742248.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11601 + ... + 17407.

It is an arithmetic number, because the mean of its divisors is an integer number (3931290).

Almost surely, 2^84224728 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 84224728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94350960).

84224728 is an abundant number, since it is smaller than the sum of its proper divisors (104477192).

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

84224728 is a wasteful number, since it uses less digits than its factorization.

84224728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 5853 counting only the distinct ones).

The product of its digits is 57344, while the sum is 37.

The square root of 84224728 is about 9177.4031185298. The cubic root of 84224728 is about 438.3421220012.

The spelling of 84224728 in words is "eighty-four million, two hundred twenty-four thousand, seven hundred twenty-eight".