28802560320 has 336 divisors, whose sum is σ = 102237527808. Its totient is φ = 7438970880.

The previous prime is 28802560277. The next prime is 28802560331. The reversal of 28802560320 is 2306520882.

28802560320 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 25 + 603 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11769337 + ... + 11771783.

Almost surely, 2^28802560320 is an apocalyptic number.

28802560320 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 28802560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51118763904).

28802560320 is an abundant number, since it is smaller than the sum of its proper divisors (73434967488).

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

28802560320 is a wasteful number, since it uses less digits than its factorization.

28802560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 28802560320 in words is "twenty-eight billion, eight hundred two million, five hundred sixty thousand, three hundred twenty".