28688067354240 has 320 divisors, whose sum is σ = 117086022408960. Its totient is φ = 6557272455168.

The previous prime is 28688067354197. The next prime is 28688067354281. The reversal of 28688067354240 is 4245376088682.

28688067354240 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 80 + 6 + 7 + 3 + 542 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39165432 + ... + 39891191.

It is an arithmetic number, because the mean of its divisors is an integer number (365893820028).

Almost surely, 2^{28688067354240} is an apocalyptic number.

28688067354240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28688067354240 is an abundant number, since it is smaller than the sum of its proper divisors (88397955054720).

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

28688067354240 is an equidigital number, since it uses as much as digits as its factorization.

28688067354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79056661 (or 79056640 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 28688067354240 in words is "twenty-eight trillion, six hundred eighty-eight billion, sixty-seven million, three hundred fifty-four thousand, two hundred forty".