28606387645440 has 3168 divisors, whose sum is σ = 123842742773760. Its totient is φ = 6202884096000.

The previous prime is 28606387645417. The next prime is 28606387645441. The reversal of 28606387645440 is 4454678360682.

28606387645440 is a `hidden beast` number, since 2 + 8 + 6 + 0 + 6 + 3 + 87 + 6 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28606387645441) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 697716771820 + ... + 697716771860.

Almost surely, 2^{28606387645440} is an apocalyptic number.

28606387645440 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 28606387645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61921371386880).

28606387645440 is an abundant number, since it is smaller than the sum of its proper divisors (95236355128320).

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

28606387645440 is a wasteful number, since it uses less digits than its factorization.

28606387645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 28606387645440 in words is "twenty-eight trillion, six hundred six billion, three hundred eighty-seven million, six hundred forty-five thousand, four hundred forty".