28519651906560 has 1056 divisors, whose sum is σ = 106186384231200. Its totient is φ = 7063165992960.

The previous prime is 28519651906517. The next prime is 28519651906609. The reversal of 28519651906560 is 6560915691582.

28519651906560 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 9 + 65 + 1 + 9 + 0 + 6 + 560 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 338333008896 + 28181318897664 = 581664^2 + 5308608^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4400498520 + ... + 4400505000.

Almost surely, 2^{28519651906560} is an apocalyptic number.

28519651906560 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 28519651906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53093192115600).

28519651906560 is an abundant number, since it is smaller than the sum of its proper divisors (77666732324640).

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

28519651906560 is a wasteful number, since it uses less digits than its factorization.

28519651906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6667 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 28519651906560 in words is "twenty-eight trillion, five hundred nineteen billion, six hundred fifty-one million, nine hundred six thousand, five hundred sixty".