28293009488640 has 2880 divisors, whose sum is σ = 119745020989440. Its totient is φ = 6316431114240.

The previous prime is 28293009488629. The next prime is 28293009488641. The reversal of 28293009488640 is 4688490039282.

28293009488640 is a `hidden beast` number, since 2 + 8 + 2 + 93 + 0 + 0 + 9 + 488 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (28293009488641) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 124638808207 + ... + 124638808433.

It is an arithmetic number, because the mean of its divisors is an integer number (41578132288).

Almost surely, 2^{28293009488640} is an apocalyptic number.

28293009488640 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 28293009488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59872510494720).

28293009488640 is an abundant number, since it is smaller than the sum of its proper divisors (91452011500800).

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

28293009488640 is a wasteful number, since it uses less digits than its factorization.

28293009488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 28293009488640 in words is "twenty-eight trillion, two hundred ninety-three billion, nine million, four hundred eighty-eight thousand, six hundred forty".