213413928 has 256 divisors, whose sum is σ = 715008000. Its totient is φ = 51508224.

The previous prime is 213413927. The next prime is 213413939. The reversal of 213413928 is 829314312.

It is not an unprimeable number, because it can be changed into a prime (213413927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1535283 + ... + 1535421.

It is an arithmetic number, because the mean of its divisors is an integer number (2793000).

Almost surely, 2^213413928 is an apocalyptic number.

213413928 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 213413928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357504000).

213413928 is an abundant number, since it is smaller than the sum of its proper divisors (501594072).

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

213413928 is a wasteful number, since it uses less digits than its factorization.

213413928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 213413928 is about 14608.6935760868. The cubic root of 213413928 is about 597.5958686761.

The spelling of 213413928 in words is "two hundred thirteen million, four hundred thirteen thousand, nine hundred twenty-eight".