28912664158560 has 6144 divisors, whose sum is σ = 145142710272000. Its totient is φ = 5202778521600.

The previous prime is 28912664158487. The next prime is 28912664158561. The reversal of 28912664158560 is 6585146621982.

28912664158560 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 2 + 6 + 6 + 41 + 585 + 6 + 0 = 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 (28912664158561) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 324861394996 + ... + 324861395084.

It is an arithmetic number, because the mean of its divisors is an integer number (23623488000).

Almost surely, 2^{28912664158560} is an apocalyptic number.

28912664158560 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 28912664158560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72571355136000).

28912664158560 is an abundant number, since it is smaller than the sum of its proper divisors (116230046113440).

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

28912664158560 is a wasteful number, since it uses less digits than its factorization.

28912664158560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 28912664158560 in words is "twenty-eight trillion, nine hundred twelve billion, six hundred sixty-four million, one hundred fifty-eight thousand, five hundred sixty".