213961728 has 132 divisors (see below), whose sum is σ = 608319272. Its totient is φ = 66846720.

The previous prime is 213961697. The next prime is 213961747. The reversal of 213961728 is 827169312.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 887688 + ... + 887928.

Almost surely, 2^213961728 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 213961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304159636).

213961728 is an abundant number, since it is smaller than the sum of its proper divisors (394357544).

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

213961728 is a wasteful number, since it uses less digits than its factorization.

213961728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 263 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 213961728 is about 14627.4306698066. The cubic root of 213961728 is about 598.1067433601.

The spelling of 213961728 in words is "two hundred thirteen million, nine hundred sixty-one thousand, seven hundred twenty-eight".