8283408 has 80 divisors (see below), whose sum is σ = 24819840. Its totient is φ = 2331648.

The previous prime is 8283397. The next prime is 8283433. The reversal of 8283408 is 8043828.

It is a super-2 number, since 2×8283408² = 137229696188928, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 29766 + ... + 30042.

It is an arithmetic number, because the mean of its divisors is an integer number (310248).

Almost surely, 2^8283408 is an apocalyptic number.

8283408 is the 1662-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8283408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12409920).

8283408 is an abundant number, since it is smaller than the sum of its proper divisors (16536432).

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

8283408 is a wasteful number, since it uses less digits than its factorization.

8283408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 8283408 is about 2878.0910340015. The cubic root of 8283408 is about 202.3343806612.

The spelling of 8283408 in words is "eight million, two hundred eighty-three thousand, four hundred eight".