28467678666240 has 1600 divisors, whose sum is σ = 115237449474048. Its totient is φ = 6654364876800.

The previous prime is 28467678666227. The next prime is 28467678666241. The reversal of 28467678666240 is 4266687676482.

It is a happy number.

28467678666240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28467678666241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25950481372 + ... + 25950482468.

Almost surely, 2^{28467678666240} is an apocalyptic number.

28467678666240 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 28467678666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57618724737024).

28467678666240 is an abundant number, since it is smaller than the sum of its proper divisors (86769770807808).

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

28467678666240 is a wasteful number, since it uses less digits than its factorization.

28467678666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 1560674304, while the sum is 72.

The spelling of 28467678666240 in words is "twenty-eight trillion, four hundred sixty-seven billion, six hundred seventy-eight million, six hundred sixty-six thousand, two hundred forty".