28870409961960 has 768 divisors, whose sum is σ = 105662096179200. Its totient is φ = 6284936448000.

The previous prime is 28870409961917. The next prime is 28870409961977. The reversal of 28870409961960 is 6916990407882.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3000141709 + ... + 3000151331.

It is an arithmetic number, because the mean of its divisors is an integer number (137580854400).

Almost surely, 2^{28870409961960} is an apocalyptic number.

28870409961960 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 28870409961960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52831048089600).

28870409961960 is an abundant number, since it is smaller than the sum of its proper divisors (76791686217240).

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

28870409961960 is a wasteful number, since it uses less digits than its factorization.

28870409961960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9942 (or 9931 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 69.

The spelling of 28870409961960 in words is "twenty-eight trillion, eight hundred seventy billion, four hundred nine million, nine hundred sixty-one thousand, nine hundred sixty".