28165706008320 has 288 divisors, whose sum is σ = 90868770929664. Its totient is φ = 7434532864000.

The previous prime is 28165706008213. The next prime is 28165706008373. The reversal of 28165706008320 is 2380060756182.

It is a super-2 number, since 2×28165706008320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28165706008320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2028784099 + ... + 2028797981.

It is an arithmetic number, because the mean of its divisors is an integer number (315516565728).

Almost surely, 2^{28165706008320} is an apocalyptic number.

28165706008320 is a gapful number since it is divisible by the number (20) 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 28165706008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45434385464832).

28165706008320 is an abundant number, since it is smaller than the sum of its proper divisors (62703064921344).

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

28165706008320 is a wasteful number, since it uses less digits than its factorization.

28165706008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19239 (or 19225 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 28165706008320 in words is "twenty-eight trillion, one hundred sixty-five billion, seven hundred six million, eight thousand, three hundred twenty".