28829581784640 has 896 divisors, whose sum is σ = 127838047518720. Its totient is φ = 5953297637376.

The previous prime is 28829581784599. The next prime is 28829581784657. The reversal of 28829581784640 is 4648718592882.

28829581784640 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 95 + 8 + 1 + 78 + 464 + 0 = 666.

It is a super-2 number, since 2×28829581784640² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36563199 + ... + 37343361.

It is an arithmetic number, because the mean of its divisors is an integer number (142676392320).

Almost surely, 2^{28829581784640} is an apocalyptic number.

28829581784640 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 28829581784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63919023759360).

28829581784640 is an abundant number, since it is smaller than the sum of its proper divisors (99008465734080).

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

28829581784640 is a wasteful number, since it uses less digits than its factorization.

28829581784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780256 (or 780240 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 28829581784640 in words is "twenty-eight trillion, eight hundred twenty-nine billion, five hundred eighty-one million, seven hundred eighty-four thousand, six hundred forty".