28460130935040 has 3456 divisors, whose sum is σ = 133277695488000. Its totient is φ = 5598361681920.

The previous prime is 28460130935039. The next prime is 28460130935051. The reversal of 28460130935040 is 4053903106482.

28460130935040 is a `hidden beast` number, since 2 + 8 + 4 + 6 + 0 + 130 + 9 + 3 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 75092693571 + ... + 75092693949.

It is an arithmetic number, because the mean of its divisors is an integer number (38564148000).

Almost surely, 2^{28460130935040} is an apocalyptic number.

28460130935040 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 28460130935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66638847744000).

28460130935040 is an abundant number, since it is smaller than the sum of its proper divisors (104817564552960).

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

28460130935040 is a wasteful number, since it uses less digits than its factorization.

28460130935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 28460130935040 in words is "twenty-eight trillion, four hundred sixty billion, one hundred thirty million, nine hundred thirty-five thousand, forty".