213036928 has 96 divisors (see below), whose sum is σ = 486619560. Its totient is φ = 92332032.

The previous prime is 213036919. The next prime is 213036931. The reversal of 213036928 is 829630312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 213036893 and 213036902.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 480675 + ... + 481117.

Almost surely, 2^213036928 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 213036928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243309780).

213036928 is an abundant number, since it is smaller than the sum of its proper divisors (273582632).

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

213036928 is a wasteful number, since it uses less digits than its factorization.

213036928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 213036928 is about 14595.7845969307. The cubic root of 213036928 is about 597.2437728891.

The spelling of 213036928 in words is "two hundred thirteen million, thirty-six thousand, nine hundred twenty-eight".