218028096 has 168 divisors, whose sum is σ = 734470464. Its totient is φ = 60963840.

The previous prime is 218028049. The next prime is 218028113. The reversal of 218028096 is 690820812.

218028096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 218028096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81045 + ... + 83691.

It is an arithmetic number, because the mean of its divisors is an integer number (4371848).

Almost surely, 2^218028096 is an apocalyptic number.

218028096 is a gapful number since it is divisible by the number (26) 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 218028096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367235232).

218028096 is an abundant number, since it is smaller than the sum of its proper divisors (516442368).

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

218028096 is a wasteful number, since it uses less digits than its factorization.

218028096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 218028096 is about 14765.7744801957. The cubic root of 218028096 is about 601.8720198285.

It can be divided in two parts, 2180 and 28096, that added together give a square (30276 = 174²).

The spelling of 218028096 in words is "two hundred eighteen million, twenty-eight thousand, ninety-six".