28129466280960 has 1408 divisors, whose sum is σ = 110972370124800. Its totient is φ = 6700495011840.

The previous prime is 28129466280911. The next prime is 28129466280997. The reversal of 28129466280960 is 6908266492182.

28129466280960 is a `hidden beast` number, since 2 + 8 + 1 + 2 + 9 + 466 + 2 + 80 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×28129466280960² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21822703996 + ... + 21822705284.

Almost surely, 2^{28129466280960} is an apocalyptic number.

28129466280960 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 28129466280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55486185062400).

28129466280960 is an abundant number, since it is smaller than the sum of its proper divisors (82842903843840).

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

28129466280960 is a wasteful number, since it uses less digits than its factorization.

28129466280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 28129466280960 in words is "twenty-eight trillion, one hundred twenty-nine billion, four hundred sixty-six million, two hundred eighty thousand, nine hundred sixty".