83284448 has 96 divisors (see below), whose sum is σ = 191147040. Its totient is φ = 35389440.

The previous prime is 83284427. The next prime is 83284457. The reversal of 83284448 is 84448238.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 323936 + ... + 324192.

It is an arithmetic number, because the mean of its divisors is an integer number (1991115).

Almost surely, 2^83284448 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 83284448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95573520).

83284448 is an abundant number, since it is smaller than the sum of its proper divisors (107862592).

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

83284448 is a wasteful number, since it uses less digits than its factorization.

83284448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its digits is 196608, while the sum is 41.

The square root of 83284448 is about 9126.0313389775. The cubic root of 83284448 is about 436.7048051170.

The spelling of 83284448 in words is "eighty-three million, two hundred eighty-four thousand, four hundred forty-eight".