28719410971680 has 1920 divisors, whose sum is σ = 122004207908352. Its totient is φ = 6270566400000.

The previous prime is 28719410971607. The next prime is 28719410971729. The reversal of 28719410971680 is 8617901491782.

28719410971680 is a `hidden beast` number, since 2 + 8 + 71 + 9 + 410 + 9 + 71 + 6 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13289869800 + ... + 13289871960.

Almost surely, 2^{28719410971680} is an apocalyptic number.

28719410971680 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 28719410971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61002103954176).

28719410971680 is an abundant number, since it is smaller than the sum of its proper divisors (93284796936672).

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

28719410971680 is a wasteful number, since it uses less digits than its factorization.

28719410971680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 28719410971680 in words is "twenty-eight trillion, seven hundred nineteen billion, four hundred ten million, nine hundred seventy-one thousand, six hundred eighty".