28864602801000 has 640 divisors, whose sum is σ = 103132363276800. Its totient is φ = 7528589452800.

The previous prime is 28864602800963. The next prime is 28864602801019. The reversal of 28864602801000 is 10820646882.

28864602801000 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 460 + 2 + 80 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 684671922 + ... + 684714078.

It is an arithmetic number, because the mean of its divisors is an integer number (161144317620).

Almost surely, 2^{28864602801000} is an apocalyptic number.

28864602801000 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 28864602801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51566181638400).

28864602801000 is an abundant number, since it is smaller than the sum of its proper divisors (74267760475800).

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

28864602801000 is a wasteful number, since it uses less digits than its factorization.

28864602801000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42376 (or 42353 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 28864602801000 in words is "twenty-eight trillion, eight hundred sixty-four billion, six hundred two million, eight hundred one thousand".