28809648000 has 768 divisors, whose sum is σ = 123531220800. Its totient is φ = 6580224000.

The previous prime is 28809647969. The next prime is 28809648001. The reversal of 28809648000 is 84690882.

It is a happy number.

28809648000 is a `hidden beast` number, since 2 + 8 + 80 + 96 + 480 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28809648001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21167320 + ... + 21168680.

Almost surely, 2^28809648000 is an apocalyptic number.

28809648000 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 28809648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61765610400).

28809648000 is an abundant number, since it is smaller than the sum of its proper divisors (94721572800).

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

28809648000 is a wasteful number, since it uses less digits than its factorization.

28809648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 28809648000 in words is "twenty-eight billion, eight hundred nine million, six hundred forty-eight thousand".