28463106821760 has 768 divisors, whose sum is σ = 112433119212960. Its totient is φ = 6573008093184.

The previous prime is 28463106821749. The next prime is 28463106821789. The reversal of 28463106821760 is 6712860136482.

It is a happy number.

28463106821760 is a `hidden beast` number, since 2 + 8 + 463 + 1 + 0 + 6 + 8 + 2 + 176 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 118727106624 + 28344379715136 = 344568^2 + 5323944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28463106821697 and 28463106821706.

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, 398400762 + ... + 398472198.

Almost surely, 2^{28463106821760} is an apocalyptic number.

28463106821760 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 28463106821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56216559606480).

28463106821760 is an abundant number, since it is smaller than the sum of its proper divisors (83970012391200).

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

28463106821760 is a wasteful number, since it uses less digits than its factorization.

28463106821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71805 (or 71790 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 28463106821760 in words is "twenty-eight trillion, four hundred sixty-three billion, one hundred six million, eight hundred twenty-one thousand, seven hundred sixty".