28509296010 has 128 divisors (see below), whose sum is σ = 76248539136. Its totient is φ = 6774693120.

The previous prime is 28509295963. The next prime is 28509296201. The reversal of 28509296010 is 1069290582.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5353209 + ... + 5358531.

It is an arithmetic number, because the mean of its divisors is an integer number (595691712).

Almost surely, 2^28509296010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28509296010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38124269568).

28509296010 is an abundant number, since it is smaller than the sum of its proper divisors (47739243126).

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

28509296010 is a wasteful number, since it uses less digits than its factorization.

28509296010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820.

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 28509296010 in words is "twenty-eight billion, five hundred nine million, two hundred ninety-six thousand, ten".