28906442410000 has 100 divisors (see below), whose sum is σ = 70496233306092. Its totient is φ = 11478178048000.

The previous prime is 28906442409967. The next prime is 28906442410009. The reversal of 28906442410000 is 1424460982.

It can be written as a sum of positive squares in 10 ways, for example, as 28067913943056 + 838528466944 = 5297916^2 + 915712^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (28906442410009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9179797 + ... + 11919796.

Almost surely, 2^{28906442410000} is an apocalyptic number.

28906442410000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28906442410000 is an abundant number, since it is smaller than the sum of its proper divisors (41589790896092).

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

28906442410000 is a wasteful number, since it uses less digits than its factorization.

28906442410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21099758 (or 21099737 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

Adding to 28906442410000 its reverse (1424460982), we get a palindrome (28907866870982).

The spelling of 28906442410000 in words is "twenty-eight trillion, nine hundred six billion, four hundred forty-two million, four hundred ten thousand".