219828500 has 48 divisors (see below), whose sum is σ = 483712320. Its totient is φ = 87271200.

The previous prime is 219828473. The next prime is 219828517. The reversal of 219828500 is 5828912.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 67919 + ... + 71081.

It is an arithmetic number, because the mean of its divisors is an integer number (10077340).

Almost surely, 2^219828500 is an apocalyptic number.

219828500 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 219828500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241856160).

219828500 is an abundant number, since it is smaller than the sum of its proper divisors (263883820).

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

219828500 is a wasteful number, since it uses less digits than its factorization.

219828500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 219828500 is about 14826.6145832419. The cubic root of 219828500 is about 603.5241672885.

The spelling of 219828500 in words is "two hundred nineteen million, eight hundred twenty-eight thousand, five hundred".