28284209373966 has 96 divisors (see below), whose sum is σ = 75034515538080. Its totient is φ = 7020773351424.

The previous prime is 28284209373947. The next prime is 28284209373967. The reversal of 28284209373966 is 66937390248282.

It is a super-2 number, since 2×28284209373966² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28284209373966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28284209373967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217592931 + ... + 217722878.

It is an arithmetic number, because the mean of its divisors is an integer number (781609536855).

Almost surely, 2^{28284209373966} is an apocalyptic number.

28284209373966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

28284209373966 is an abundant number, since it is smaller than the sum of its proper divisors (46750306164114).

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

28284209373966 is a wasteful number, since it uses less digits than its factorization.

28284209373966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435315858 (or 435315851 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 69.

The spelling of 28284209373966 in words is "twenty-eight trillion, two hundred eighty-four billion, two hundred nine million, three hundred seventy-three thousand, nine hundred sixty-six".