28006165824 has 448 divisors, whose sum is σ = 97442365440. Its totient is φ = 6897623040.

The previous prime is 28006165807. The next prime is 28006165849. The reversal of 28006165824 is 42856160082.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×28006165824² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15706437 + ... + 15708219.

It is an arithmetic number, because the mean of its divisors is an integer number (217505280).

Almost surely, 2^28006165824 is an apocalyptic number.

28006165824 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 28006165824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48721182720).

28006165824 is an abundant number, since it is smaller than the sum of its proper divisors (69436199616).

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

28006165824 is a wasteful number, since it uses less digits than its factorization.

28006165824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 28006165824 in words is "twenty-eight billion, six million, one hundred sixty-five thousand, eight hundred twenty-four".