21828286417 has 32 divisors (see below), whose sum is σ = 25985024000. Its totient is φ = 18324777744.

The previous prime is 21828286409. The next prime is 21828286453. The reversal of 21828286417 is 71468282812.

It is not a de Polignac number, because 21828286417 - 2³ = 21828286409 is a prime.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21828287417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3438148 + ... + 3444490.

It is an arithmetic number, because the mean of its divisors is an integer number (812032000).

Almost surely, 2^21828286417 is an apocalyptic number.

It is an amenable number.

21828286417 is a deficient number, since it is larger than the sum of its proper divisors (4156737583).

21828286417 is an equidigital number, since it uses as much as digits as its factorization.

21828286417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6570 (or 6556 counting only the distinct ones).

The product of its digits is 688128, while the sum is 49.

The spelling of 21828286417 in words is "twenty-one billion, eight hundred twenty-eight million, two hundred eighty-six thousand, four hundred seventeen".