28212662016 has 864 divisors, whose sum is σ = 107870873600. Its totient is φ = 7116595200.

The previous prime is 28212662011. The next prime is 28212662021. The reversal of 28212662016 is 61026621282.

It is a happy number.

28212662016 is a `hidden beast` number, since 2 + 8 + 2 + 1 + 26 + 620 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (28212662011) and next prime (28212662021).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28212662011) 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, 357122265 + ... + 357122343.

Almost surely, 2^28212662016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28212662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53935436800).

28212662016 is an abundant number, since it is smaller than the sum of its proper divisors (79658211584).

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

28212662016 is a wasteful number, since it uses less digits than its factorization.

28212662016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

It can be divided in two parts, 2821266 and 2016, that added together give a palindrome (2823282).

The spelling of 28212662016 in words is "twenty-eight billion, two hundred twelve million, six hundred sixty-two thousand, sixteen".