28079347944960 has 360 divisors, whose sum is σ = 105302631778344. Its totient is φ = 6911838535680.

The previous prime is 28079347944911. The next prime is 28079347944961. The reversal of 28079347944960 is 6944974397082.

28079347944960 is a `hidden beast` number, since 2 + 8 + 0 + 7 + 9 + 3 + 47 + 94 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28079347944961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288075 + ... + 7499445.

Almost surely, 2^{28079347944960} is an apocalyptic number.

28079347944960 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 28079347944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52651315889172).

28079347944960 is an abundant number, since it is smaller than the sum of its proper divisors (77223283833384).

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

28079347944960 is a wasteful number, since it uses less digits than its factorization.

28079347944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7211426 (or 7211394 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 28079347944960 in words is "twenty-eight trillion, seventy-nine billion, three hundred forty-seven million, nine hundred forty-four thousand, nine hundred sixty".