18281952 has 144 divisors (see below), whose sum is σ = 59164560. Its totient is φ = 5308416.

The previous prime is 18281929. The next prime is 18281969. The reversal of 18281952 is 25918281.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 71008 + ... + 71264.

It is an arithmetic number, because the mean of its divisors is an integer number (410865).

Almost surely, 2^18281952 is an apocalyptic number.

18281952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18281952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29582280).

18281952 is an abundant number, since it is smaller than the sum of its proper divisors (40882608).

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

18281952 is a wasteful number, since it uses less digits than its factorization.

18281952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 18281952 is about 4275.7399359643. The cubic root of 18281952 is about 263.4354326446.

The spelling of 18281952 in words is "eighteen million, two hundred eighty-one thousand, nine hundred fifty-two".