218789928 has 48 divisors (see below), whose sum is σ = 677208480. Its totient is φ = 62511264.

The previous prime is 218789897. The next prime is 218789933. The reversal of 218789928 is 829987812.

It is a super-4 number, since 4×218789928⁴ (a number of 34 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 216550 + ... + 217557.

It is an arithmetic number, because the mean of its divisors is an integer number (14108510).

Almost surely, 2^218789928 is an apocalyptic number.

218789928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

218789928 is an abundant number, since it is smaller than the sum of its proper divisors (458418552).

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

218789928 is a wasteful number, since it uses less digits than its factorization.

218789928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434126 (or 434119 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 218789928 is about 14791.5492089233. The cubic root of 218789928 is about 602.5722236841.

The spelling of 218789928 in words is "two hundred eighteen million, seven hundred eighty-nine thousand, nine hundred twenty-eight".