28272494638080 has 2816 divisors, whose sum is σ = 128334346813440. Its totient is φ = 5853125836800.

The previous prime is 28272494638049. The next prime is 28272494638097. The reversal of 28272494638080 is 8083649427282.

28272494638080 is a `hidden beast` number, since 2 + 8 + 2 + 7 + 2 + 494 + 63 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 28272494637999 and 28272494638017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 104326548345 + ... + 104326548615.

Almost surely, 2^{28272494638080} is an apocalyptic number.

28272494638080 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 28272494638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64167173406720).

28272494638080 is an abundant number, since it is smaller than the sum of its proper divisors (100061852175360).

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

28272494638080 is an frugal number, since it uses more digits than its factorization.

28272494638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 28272494638080 in words is "twenty-eight trillion, two hundred seventy-two billion, four hundred ninety-four million, six hundred thirty-eight thousand, eighty".