213028816 has 160 divisors (see below), whose sum is σ = 567963648. Its totient is φ = 74718720.

The previous prime is 213028811. The next prime is 213028847. The reversal of 213028816 is 618820312.

213028816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213028811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752611 + ... + 752893.

Almost surely, 2^213028816 is an apocalyptic number.

213028816 is a gapful number since it is divisible by the number (26) 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 213028816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283981824).

213028816 is an abundant number, since it is smaller than the sum of its proper divisors (354934832).

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

213028816 is a wasteful number, since it uses less digits than its factorization.

213028816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 213028816 is about 14595.5067058324. The cubic root of 213028816 is about 597.2361921956.

The spelling of 213028816 in words is "two hundred thirteen million, twenty-eight thousand, eight hundred sixteen".