213028704 has 240 divisors, whose sum is σ = 731808000. Its totient is φ = 59533056.

The previous prime is 213028687. The next prime is 213028723. The reversal of 213028704 is 407820312.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 1070397 + ... + 1070595.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 2^213028704 is an apocalyptic number.

213028704 is a gapful number since it is divisible by the number (24) 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 213028704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365904000).

213028704 is an abundant number, since it is smaller than the sum of its proper divisors (518779296).

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

213028704 is a wasteful number, since it uses less digits than its factorization.

213028704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 213028704 is about 14595.5028690347. The cubic root of 213028704 is about 597.2360875299.

The spelling of 213028704 in words is "two hundred thirteen million, twenty-eight thousand, seven hundred four".