213628840 has 24 divisors (see below), whose sum is σ = 480872970. Its totient is φ = 85414560.

The previous prime is 213628829. The next prime is 213628889. The reversal of 213628840 is 48826312.

It can be written as a sum of positive squares in only one way, i.e., 192265956 + 21362884 = 13866^2 + 4622^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213628796 and 213628805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91285 + ... + 93595.

Almost surely, 2^213628840 is an apocalyptic number.

213628840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213628840 is an abundant number, since it is smaller than the sum of its proper divisors (267244130).

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

213628840 is an frugal number, since it uses more digits than its factorization.

213628840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 213628840 is about 14616.0473452982. The cubic root of 213628840 is about 597.7963982884.

It can be divided in two parts, 2136 and 28840, that added together give a square (30976 = 176²).

The spelling of 213628840 in words is "two hundred thirteen million, six hundred twenty-eight thousand, eight hundred forty".