28256414853744 has 960 divisors, whose sum is σ = 103557403901952. Its totient is φ = 7245602150400.

The previous prime is 28256414853697. The next prime is 28256414853749. The reversal of 28256414853744 is 44735841465282.

28256414853744 is a `hidden beast` number, since 2 + 8 + 2 + 56 + 4 + 1 + 4 + 8 + 537 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28256414853749) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7833769989 + ... + 7833773595.

Almost surely, 2^{28256414853744} is an apocalyptic number.

28256414853744 is a gapful number since it is divisible by the number (24) 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 28256414853744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51778701950976).

28256414853744 is an abundant number, since it is smaller than the sum of its proper divisors (75300989048208).

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

28256414853744 is a wasteful number, since it uses less digits than its factorization.

28256414853744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3958 counting only the distinct ones).

The product of its digits is 206438400, while the sum is 63.

The spelling of 28256414853744 in words is "twenty-eight trillion, two hundred fifty-six billion, four hundred fourteen million, eight hundred fifty-three thousand, seven hundred forty-four".