213446128 has 40 divisors (see below), whose sum is σ = 477335520. Its totient is φ = 90566400.

The previous prime is 213446117. The next prime is 213446131. The reversal of 213446128 is 821644312.

It is a super-3 number, since 3×213446128³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213446128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1878 + ... + 20746.

It is an arithmetic number, because the mean of its divisors is an integer number (11933388).

Almost surely, 2^213446128 is an apocalyptic number.

213446128 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 213446128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238667760).

213446128 is an abundant number, since it is smaller than the sum of its proper divisors (263889392).

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

213446128 is a wasteful number, since it uses less digits than its factorization.

213446128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18985 (or 18979 counting only the distinct ones).

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

The square root of 213446128 is about 14609.7956180092. The cubic root of 213446128 is about 597.6259223523.

It can be divided in two parts, 21344 and 6128, that added together give a palindrome (27472).

The spelling of 213446128 in words is "two hundred thirteen million, four hundred forty-six thousand, one hundred twenty-eight".