218400828 has 48 divisors (see below), whose sum is σ = 533514240. Its totient is φ = 69451200.

The previous prime is 218400821. The next prime is 218400851. The reversal of 218400828 is 828004812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218400821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22278 + ... + 30546.

It is an arithmetic number, because the mean of its divisors is an integer number (11114880).

Almost surely, 2^218400828 is an apocalyptic number.

It is an amenable number.

218400828 is an abundant number, since it is smaller than the sum of its proper divisors (315113412).

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

218400828 is a wasteful number, since it uses less digits than its factorization.

218400828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8378 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 218400828 is about 14778.3905754314. The cubic root of 218400828 is about 602.2148032403.

The spelling of 218400828 in words is "two hundred eighteen million, four hundred thousand, eight hundred twenty-eight".