219028160 has 112 divisors (see below), whose sum is σ = 577266816. Its totient is φ = 78630912.

The previous prime is 219028157. The next prime is 219028163. The reversal of 219028160 is 61820912.

It is an interprime number because it is at equal distance from previous prime (219028157) and next prime (219028163).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219028163) 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 15 ways as a sum of consecutive naturals, for example, 153209 + ... + 154631.

It is an arithmetic number, because the mean of its divisors is an integer number (5154168).

Almost surely, 2^219028160 is an apocalyptic number.

219028160 is a gapful number since it is divisible by the number (20) 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 219028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288633408).

219028160 is an abundant number, since it is smaller than the sum of its proper divisors (358238656).

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

219028160 is a wasteful number, since it uses less digits than its factorization.

219028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 219028160 is about 14799.5999945944. The cubic root of 219028160 is about 602.7908503154.

The spelling of 219028160 in words is "two hundred nineteen million, twenty-eight thousand, one hundred sixty".