213272928 has 144 divisors (see below), whose sum is σ = 690633216. Its totient is φ = 61797120.

The previous prime is 213272911. The next prime is 213272953. The reversal of 213272928 is 829272312.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 213272892 and 213272901.

It is a congruent number.

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, 71401 + ... + 74327.

It is an arithmetic number, because the mean of its divisors is an integer number (4796064).

Almost surely, 2^213272928 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 213272928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345316608).

213272928 is an abundant number, since it is smaller than the sum of its proper divisors (477360288).

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

213272928 is a wasteful number, since it uses less digits than its factorization.

213272928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2966 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 213272928 is about 14603.8668851780. The cubic root of 213272928 is about 597.4642315615.

The spelling of 213272928 in words is "two hundred thirteen million, two hundred seventy-two thousand, nine hundred twenty-eight".