1218028320 has 384 divisors, whose sum is σ = 4470681600. Its totient is φ = 309464064.

The previous prime is 1218028313. The next prime is 1218028327. The reversal of 1218028320 is 238208121.

It is an interprime number because it is at equal distance from previous prime (1218028313) and next prime (1218028327).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1218028327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14674999 + ... + 14675081.

It is an arithmetic number, because the mean of its divisors is an integer number (11642400).

Almost surely, 2^1218028320 is an apocalyptic number.

1218028320 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 1218028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235340800).

1218028320 is an abundant number, since it is smaller than the sum of its proper divisors (3252653280).

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

1218028320 is a wasteful number, since it uses less digits than its factorization.

1218028320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1218028320 is about 34900.2624631965. The cubic root of 1218028320 is about 1067.9537917137.

The spelling of 1218028320 in words is "one billion, two hundred eighteen million, twenty-eight thousand, three hundred twenty".