28284662016 has 324 divisors, whose sum is σ = 93523847508. Its totient is φ = 8189116416.

The previous prime is 28284661957. The next prime is 28284662039. The reversal of 28284662016 is 61026648282.

28284662016 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 4 + 6 + 620 + 16 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3542630400 + 24742031616 = 59520^2 + 157296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6617256 + ... + 6621528.

Almost surely, 2^28284662016 is an apocalyptic number.

28284662016 is a gapful number since it is divisible by the number (26) 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 28284662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46761923754).

28284662016 is an abundant number, since it is smaller than the sum of its proper divisors (65239185492).

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

28284662016 is a wasteful number, since it uses less digits than its factorization.

28284662016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28284662016 in words is "twenty-eight billion, two hundred eighty-four million, six hundred sixty-two thousand, sixteen".