28078663668480 has 288 divisors, whose sum is σ = 99726075832320. Its totient is φ = 7481194721280.

The previous prime is 28078663668463. The next prime is 28078663668529. The reversal of 28078663668480 is 8486636687082.

It is a happy number.

28078663668480 is a `hidden beast` number, since 2 + 8 + 0 + 7 + 86 + 6 + 3 + 6 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×28078663668480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28078663668399 and 28078663668408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39843985 + ... + 40542575.

It is an arithmetic number, because the mean of its divisors is an integer number (346271096640).

Almost surely, 2^{28078663668480} is an apocalyptic number.

28078663668480 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 28078663668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49863037916160).

28078663668480 is an abundant number, since it is smaller than the sum of its proper divisors (71647412163840).

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

28078663668480 is a wasteful number, since it uses less digits than its factorization.

28078663668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699784 (or 699764 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 28078663668480 in words is "twenty-eight trillion, seventy-eight billion, six hundred sixty-three million, six hundred sixty-eight thousand, four hundred eighty".