213828880 has 40 divisors (see below), whose sum is σ = 498575232. Its totient is φ = 85286784.

The previous prime is 213828841. The next prime is 213828913. The reversal of 213828880 is 88828312.

213828880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25719 + ... + 33001.

Almost surely, 2^213828880 is an apocalyptic number.

213828880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213828880 is an abundant number, since it is smaller than the sum of its proper divisors (284746352).

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

213828880 is a wasteful number, since it uses less digits than its factorization.

213828880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7663 (or 7657 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 213828880 is about 14622.8889074628. Note that the first 3 decimals coincide. The cubic root of 213828880 is about 597.9829303525.

The spelling of 213828880 in words is "two hundred thirteen million, eight hundred twenty-eight thousand, eight hundred eighty".