28508746065408 has 3840 divisors, whose sum is σ = 115674096384000. Its totient is φ = 6952804024320.

The previous prime is 28508746065347. The next prime is 28508746065433. The reversal of 28508746065408 is 80456064780582.

28508746065408 is a `hidden beast` number, since 2 + 8 + 5 + 0 + 87 + 4 + 6 + 0 + 6 + 540 + 8 = 666.

It is a super-2 number, since 2×28508746065408² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 695335269868 + ... + 695335269908.

It is an arithmetic number, because the mean of its divisors is an integer number (30123462600).

Almost surely, 2^{28508746065408} is an apocalyptic number.

28508746065408 is a gapful number since it is divisible by the number (28) 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 28508746065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57837048192000).

28508746065408 is an abundant number, since it is smaller than the sum of its proper divisors (87165350318592).

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

28508746065408 is an equidigital number, since it uses as much as digits as its factorization.

28508746065408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 28508746065408 in words is "twenty-eight trillion, five hundred eight billion, seven hundred forty-six million, sixty-five thousand, four hundred eight".