213755928 has 128 divisors (see below), whose sum is σ = 596160000. Its totient is φ = 63562752.

The previous prime is 213755923. The next prime is 213755939. The reversal of 213755928 is 829557312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 213755928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213755921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 933318 + ... + 933546.

It is an arithmetic number, because the mean of its divisors is an integer number (4657500).

Almost surely, 2^213755928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213755928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298080000).

213755928 is an abundant number, since it is smaller than the sum of its proper divisors (382404072).

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

213755928 is a wasteful number, since it uses less digits than its factorization.

213755928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 213755928 is about 14620.3942491302. The cubic root of 213755928 is about 597.9149180042.

The spelling of 213755928 in words is "two hundred thirteen million, seven hundred fifty-five thousand, nine hundred twenty-eight".