28642338466560 has 1728 divisors, whose sum is σ = 130569451084800. Its totient is φ = 5627887091712.

The previous prime is 28642338466523. The next prime is 28642338466603. The reversal of 28642338466560 is 6566483324682.

28642338466560 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 2 + 3 + 3 + 8 + 4 + 66 + 560 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 1175154534 + ... + 1175178906.

Almost surely, 2^{28642338466560} is an apocalyptic number.

28642338466560 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 28642338466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65284725542400).

28642338466560 is an abundant number, since it is smaller than the sum of its proper divisors (101927112618240).

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

28642338466560 is a wasteful number, since it uses less digits than its factorization.

28642338466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24498 (or 24481 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 63.

The spelling of 28642338466560 in words is "twenty-eight trillion, six hundred forty-two billion, three hundred thirty-eight million, four hundred sixty-six thousand, five hundred sixty".