218150528 has 64 divisors (see below), whose sum is σ = 476166600. Its totient is φ = 99090432.

The previous prime is 218150509. The next prime is 218150531. The reversal of 218150528 is 825051812.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 155550784 + 62599744 = 12472^2 + 7912^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 218150494 and 218150503.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61376 + ... + 64832.

Almost surely, 2^218150528 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 218150528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238083300).

218150528 is an abundant number, since it is smaller than the sum of its proper divisors (258016072).

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

218150528 is a wasteful number, since it uses less digits than its factorization.

218150528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The square root of 218150528 is about 14769.9197018806. The cubic root of 218150528 is about 601.9846576150.

The spelling of 218150528 in words is "two hundred eighteen million, one hundred fifty thousand, five hundred twenty-eight".