213913728 has 192 divisors, whose sum is σ = 721768320. Its totient is φ = 59535360.

The previous prime is 213913643. The next prime is 213913741. The reversal of 213913728 is 827319312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213913692 and 213913701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330301 + ... + 330947.

It is an arithmetic number, because the mean of its divisors is an integer number (3759210).

Almost surely, 2^213913728 is an apocalyptic number.

213913728 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 213913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360884160).

213913728 is an abundant number, since it is smaller than the sum of its proper divisors (507854592).

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

213913728 is a wasteful number, since it uses less digits than its factorization.

213913728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 700 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 213913728 is about 14625.7898248266. The cubic root of 213913728 is about 598.0620137550.

The spelling of 213913728 in words is "two hundred thirteen million, nine hundred thirteen thousand, seven hundred twenty-eight".