28615104000 has 960 divisors, whose sum is σ = 121092820992. Its totient is φ = 6359040000.

The previous prime is 28615103999. The next prime is 28615104041. The reversal of 28615104000 is 40151682.

28615104000 is a `hidden beast` number, since 2 + 8 + 615 + 1 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189503925 + ... + 189504075.

Almost surely, 2^28615104000 is an apocalyptic number.

28615104000 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 28615104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60546410496).

28615104000 is an abundant number, since it is smaller than the sum of its proper divisors (92477716992).

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

28615104000 is a wasteful number, since it uses less digits than its factorization.

28615104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 28615104000 its reverse (40151682), we get a palindrome (28655255682).

The spelling of 28615104000 in words is "twenty-eight billion, six hundred fifteen million, one hundred four thousand".