28797512911440 has 640 divisors, whose sum is σ = 111150085939200. Its totient is φ = 6005639946240.

The previous prime is 28797512911337. The next prime is 28797512911441. The reversal of 28797512911440 is 4411921579782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28797512911441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 997440205 + ... + 997469075.

It is an arithmetic number, because the mean of its divisors is an integer number (173672009280).

Almost surely, 2^{28797512911440} is an apocalyptic number.

28797512911440 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 28797512911440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55575042969600).

28797512911440 is an abundant number, since it is smaller than the sum of its proper divisors (82352573027760).

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

28797512911440 is a wasteful number, since it uses less digits than its factorization.

28797512911440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29435 (or 29429 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 60.

The spelling of 28797512911440 in words is "twenty-eight trillion, seven hundred ninety-seven billion, five hundred twelve million, nine hundred eleven thousand, four hundred forty".