213728020 has 24 divisors (see below), whose sum is σ = 489631968. Its totient is φ = 77719200.

The previous prime is 213727993. The next prime is 213728023. The reversal of 213728020 is 20827312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213728023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485526 + ... + 485965.

It is an arithmetic number, because the mean of its divisors is an integer number (20401332).

Almost surely, 2^213728020 is an apocalyptic number.

213728020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213728020 is an abundant number, since it is smaller than the sum of its proper divisors (275903948).

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

213728020 is a wasteful number, since it uses less digits than its factorization.

213728020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971511 (or 971509 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 213728020 is about 14619.4397977487. The cubic root of 213728020 is about 597.8888955902. Note that the first 4 decimals are identical.

It can be divided in two parts, 21372 and 8020, that added together give a palindrome (29392).

The spelling of 213728020 in words is "two hundred thirteen million, seven hundred twenty-eight thousand, twenty".