213528000 has 448 divisors, whose sum is σ = 852074496. Its totient is φ = 46080000.

The previous prime is 213527933. The next prime is 213528001. The reversal of 213528000 is 825312.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213528001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5207980 + ... + 5208020.

It is an arithmetic number, because the mean of its divisors is an integer number (1901952).

Almost surely, 2^213528000 is an apocalyptic number.

213528000 is a gapful number since it is divisible by the number (20) 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 213528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426037248).

213528000 is an abundant number, since it is smaller than the sum of its proper divisors (638546496).

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

213528000 is a wasteful number, since it uses less digits than its factorization.

213528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 213528000 is about 14612.5973050652. The cubic root of 213528000 is about 597.7023234804.

It can be divided in two parts, 2135 and 28000, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 213528000 in words is "two hundred thirteen million, five hundred twenty-eight thousand".