213828120 has 256 divisors, whose sum is σ = 798336000. Its totient is φ = 50457600.

The previous prime is 213828101. The next prime is 213828149. The reversal of 213828120 is 21828312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486861 + ... + 487299.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2^213828120 is an apocalyptic number.

213828120 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 213828120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168000).

213828120 is an abundant number, since it is smaller than the sum of its proper divisors (584507880).

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

213828120 is a wasteful number, since it uses less digits than its factorization.

213828120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 213828120 is about 14622.8629207826. The cubic root of 213828120 is about 597.9822218926.

The spelling of 213828120 in words is "two hundred thirteen million, eight hundred twenty-eight thousand, one hundred twenty".