213201828 has 192 divisors, whose sum is σ = 683665920. Its totient is φ = 56070144.

The previous prime is 213201827. The next prime is 213201847. The reversal of 213201828 is 828102312.

213201828 is digitally balanced in base 2, 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 (27).

It is not an unprimeable number, because it can be changed into a prime (213201827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681000 + ... + 681312.

It is an arithmetic number, because the mean of its divisors is an integer number (3560760).

Almost surely, 2^213201828 is an apocalyptic number.

213201828 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 213201828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341832960).

213201828 is an abundant number, since it is smaller than the sum of its proper divisors (470464092).

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

213201828 is a wasteful number, since it uses less digits than its factorization.

213201828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

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

The square root of 213201828 is about 14601.4323954878. The cubic root of 213201828 is about 597.3978308410.

The spelling of 213201828 in words is "two hundred thirteen million, two hundred one thousand, eight hundred twenty-eight".