18248000 has 56 divisors (see below), whose sum is σ = 45210984. Its totient is φ = 7296000.

The previous prime is 18247997. The next prime is 18248011. The reversal of 18248000 is 84281.

It can be written as a sum of positive squares in 4 ways, for example, as 473344 + 17774656 = 688^2 + 4216^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6860 + ... + 9140.

It is an arithmetic number, because the mean of its divisors is an integer number (807339).

Almost surely, 2^18248000 is an apocalyptic number.

18248000 is a gapful number since it is divisible by the number (10) 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 18248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22605492).

18248000 is an abundant number, since it is smaller than the sum of its proper divisors (26962984).

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

18248000 is an equidigital number, since it uses as much as digits as its factorization.

18248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 18248000 is about 4271.7677839508. The cubic root of 18248000 is about 263.2722534546.

The spelling of 18248000 in words is "eighteen million, two hundred forty-eight thousand".