28639478094480 has 960 divisors, whose sum is σ = 113517054443520. Its totient is φ = 6398457753600.

The previous prime is 28639478094443. The next prime is 28639478094523. The reversal of 28639478094480 is 8449087493682.

28639478094480 is a `hidden beast` number, since 2 + 8 + 6 + 39 + 478 + 0 + 9 + 44 + 80 = 666.

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 = 28639478094399 and 28639478094408.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1293142767 + ... + 1293164913.

It is an arithmetic number, because the mean of its divisors is an integer number (118246931712).

Almost surely, 2^{28639478094480} is an apocalyptic number.

28639478094480 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 28639478094480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56758527221760).

28639478094480 is an abundant number, since it is smaller than the sum of its proper divisors (84877576349040).

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

28639478094480 is a wasteful number, since it uses less digits than its factorization.

28639478094480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22460 (or 22451 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 28639478094480 in words is "twenty-eight trillion, six hundred thirty-nine billion, four hundred seventy-eight million, ninety-four thousand, four hundred eighty".