83856288 has 48 divisors (see below), whose sum is σ = 222929280. Its totient is φ = 27595776.

The previous prime is 83856281. The next prime is 83856299. The reversal of 83856288 is 88265838.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (83856281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2056 + ... + 13112.

It is an arithmetic number, because the mean of its divisors is an integer number (4644360).

Almost surely, 2^83856288 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 83856288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111464640).

83856288 is an abundant number, since it is smaller than the sum of its proper divisors (139072992).

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

83856288 is a wasteful number, since it uses less digits than its factorization.

83856288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11149 (or 11141 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 83856288 is about 9157.3079013431. The cubic root of 83856288 is about 437.7020136999.

The spelling of 83856288 in words is "eighty-three million, eight hundred fifty-six thousand, two hundred eighty-eight".