213728480 has 48 divisors (see below), whose sum is σ = 577069920. Its totient is φ = 73277952.

The previous prime is 213728453. The next prime is 213728497. The reversal of 213728480 is 84827312.

It is a super-2 number, since 2×213728480² = 91359726326220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 213728480.

It is a congruent number.

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, 94295 + ... + 96534.

It is an arithmetic number, because the mean of its divisors is an integer number (12022290).

Almost surely, 2^213728480 is an apocalyptic number.

213728480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213728480 is an abundant number, since it is smaller than the sum of its proper divisors (363341440).

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

213728480 is a wasteful number, since it uses less digits than its factorization.

213728480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190851 (or 190843 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 213728480 is about 14619.4555302173. The cubic root of 213728480 is about 597.8893245289.

The spelling of 213728480 in words is "two hundred thirteen million, seven hundred twenty-eight thousand, four hundred eighty".