28459441520640 has 816 divisors, whose sum is σ = 106502112243072. Its totient is φ = 6988649988096.

The previous prime is 28459441520611. The next prime is 28459441520659. The reversal of 28459441520640 is 4602514495482.

28459441520640 is a `hidden beast` number, since 2 + 8 + 4 + 59 + 4 + 4 + 1 + 520 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25801850329 + ... + 25801851431.

Almost surely, 2^{28459441520640} is an apocalyptic number.

28459441520640 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 28459441520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53251056121536).

28459441520640 is an abundant number, since it is smaller than the sum of its proper divisors (78042670722432).

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

28459441520640 is a wasteful number, since it uses less digits than its factorization.

28459441520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 28459441520640 in words is "twenty-eight trillion, four hundred fifty-nine billion, four hundred forty-one million, five hundred twenty thousand, six hundred forty".