28641792760560 has 960 divisors, whose sum is σ = 114827370577920. Its totient is φ = 6499412213760.

The previous prime is 28641792760429. The next prime is 28641792760561. The reversal of 28641792760560 is 6506729714682.

28641792760560 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 1 + 7 + 9 + 2 + 7 + 60 + 560 = 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 (28641792760561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19987293604 + ... + 19987295036.

It is an arithmetic number, because the mean of its divisors is an integer number (119611844352).

Almost surely, 2^{28641792760560} is an apocalyptic number.

28641792760560 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 28641792760560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57413685288960).

28641792760560 is an abundant number, since it is smaller than the sum of its proper divisors (86185577817360).

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

28641792760560 is a wasteful number, since it uses less digits than its factorization.

28641792760560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 28641792760560 in words is "twenty-eight trillion, six hundred forty-one billion, seven hundred ninety-two million, seven hundred sixty thousand, five hundred sixty".