23829282 has 64 divisors (see below), whose sum is σ = 55641600. Its totient is φ = 7551360.

The previous prime is 23829263. The next prime is 23829307. The reversal of 23829282 is 28292832.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 103944 + ... + 104172.

It is an arithmetic number, because the mean of its divisors is an integer number (869400).

Almost surely, 2^23829282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23829282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27820800).

23829282 is an abundant number, since it is smaller than the sum of its proper divisors (31812318).

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

23829282 is a wasteful number, since it uses less digits than its factorization.

23829282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 23829282 is about 4881.5245569392. The cubic root of 23829282 is about 287.7643471628.

It can be divided in two parts, 2382 and 9282, that added together give a square (11664 = 108²).

The spelling of 23829282 in words is "twenty-three million, eight hundred twenty-nine thousand, two hundred eighty-two".