218828651328 has 560 divisors, whose sum is σ = 759449433600. Its totient is φ = 61012362240.

The previous prime is 218828651311. The next prime is 218828651429. The reversal of 218828651328 is 823156828812.

218828651328 is a `hidden beast` number, since 2 + 1 + 88 + 28 + 6 + 513 + 28 = 666.

218828651328 is digitally balanced in base 3, 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 383237283 + ... + 383237853.

Almost surely, 2^218828651328 is an apocalyptic number.

218828651328 is a gapful number since it is divisible by the number (28) 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 218828651328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379724716800).

218828651328 is an abundant number, since it is smaller than the sum of its proper divisors (540620782272).

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

218828651328 is a wasteful number, since it uses less digits than its factorization.

218828651328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 821 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 218828651328 in words is "two hundred eighteen billion, eight hundred twenty-eight million, six hundred fifty-one thousand, three hundred twenty-eight".