28105910976 has 336 divisors, whose sum is σ = 91089784800. Its totient is φ = 7588331520.

The previous prime is 28105910969. The next prime is 28105910981. The reversal of 28105910976 is 67901950182.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8756860 + ... + 8760068.

It is an arithmetic number, because the mean of its divisors is an integer number (271100550).

Almost surely, 2^28105910976 is an apocalyptic number.

28105910976 is a gapful number since it is divisible by the number (26) 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 28105910976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45544892400).

28105910976 is an abundant number, since it is smaller than the sum of its proper divisors (62983873824).

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

28105910976 is a wasteful number, since it uses less digits than its factorization.

28105910976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 28105910976 in words is "twenty-eight billion, one hundred five million, nine hundred ten thousand, nine hundred seventy-six".