28644474025440 has 2304 divisors, whose sum is σ = 130507883251200. Its totient is φ = 5665247723520.

The previous prime is 28644474025429. The next prime is 28644474025481. The reversal of 28644474025440 is 4452047444682.

28644474025440 is a `hidden beast` number, since 2 + 86 + 4 + 4 + 474 + 0 + 2 + 54 + 40 = 666.

It is a congruent number.

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, 43335058710 + ... + 43335059370.

It is an arithmetic number, because the mean of its divisors is an integer number (56644046550).

Almost surely, 2^{28644474025440} is an apocalyptic number.

28644474025440 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 28644474025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65253941625600).

28644474025440 is an abundant number, since it is smaller than the sum of its proper divisors (101863409225760).

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

28644474025440 is a wasteful number, since it uses less digits than its factorization.

28644474025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 54.

The spelling of 28644474025440 in words is "twenty-eight trillion, six hundred forty-four billion, four hundred seventy-four million, twenty-five thousand, four hundred forty".