28002165295104 has 2688 divisors, whose sum is σ = 115714585808640. Its totient is φ = 6535721779200.

The previous prime is 28002165295103. The next prime is 28002165295163. The reversal of 28002165295104 is 40159256120082.

28002165295104 is a `hidden beast` number, since 2 + 8 + 0 + 0 + 2 + 16 + 529 + 5 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×28002165295104² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28002165295104.

It is not an unprimeable number, because it can be changed into a prime (28002165295103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 61273884444 + ... + 61273884900.

It is an arithmetic number, because the mean of its divisors is an integer number (43048581030).

Almost surely, 2^{28002165295104} is an apocalyptic number.

28002165295104 is a gapful number since it is divisible by the number (24) 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 28002165295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57857292904320).

28002165295104 is an abundant number, since it is smaller than the sum of its proper divisors (87712420513536).

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

28002165295104 is a wasteful number, since it uses less digits than its factorization.

28002165295104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 28002165295104 in words is "twenty-eight trillion, two billion, one hundred sixty-five million, two hundred ninety-five thousand, one hundred four".