213828340 has 48 divisors (see below), whose sum is σ = 491448384. Its totient is φ = 77504000.

The previous prime is 213828323. The next prime is 213828347. The reversal of 213828340 is 43828312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213828347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74940 + ... + 77740.

It is an arithmetic number, because the mean of its divisors is an integer number (10238508).

Almost surely, 2^213828340 is an apocalyptic number.

213828340 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 213828340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245724192).

213828340 is an abundant number, since it is smaller than the sum of its proper divisors (277620044).

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

213828340 is a wasteful number, since it uses less digits than its factorization.

213828340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 213828340 is about 14622.8704432475. The cubic root of 213828340 is about 597.9824269732.

The spelling of 213828340 in words is "two hundred thirteen million, eight hundred twenty-eight thousand, three hundred forty".