20417616828 has 288 divisors, whose sum is σ = 66685731840. Its totient is φ = 5126768640.

The previous prime is 20417616827. The next prime is 20417616829. The reversal of 20417616828 is 82861671402.

20417616828 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 7 + 616 + 8 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (20417616827) and next prime (20417616829).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20417616823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5777350 + ... + 5780882.

It is an arithmetic number, because the mean of its divisors is an integer number (231547680).

Almost surely, 2^20417616828 is an apocalyptic number.

20417616828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20417616828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33342865920).

20417616828 is an abundant number, since it is smaller than the sum of its proper divisors (46268115012).

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

20417616828 is a wasteful number, since it uses less digits than its factorization.

20417616828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 20417616828 in words is "twenty billion, four hundred seventeen million, six hundred sixteen thousand, eight hundred twenty-eight".