28241602560 has 480 divisors, whose sum is σ = 102745843200. Its totient is φ = 7418511360.

The previous prime is 28241602559. The next prime is 28241602561. The reversal of 28241602560 is 6520614282.

It is a happy number.

28241602560 is a `hidden beast` number, since 2 + 8 + 2 + 41 + 602 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28241602559) and next prime (28241602561).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28241602561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65525545 + ... + 65525975.

It is an arithmetic number, because the mean of its divisors is an integer number (214053840).

Almost surely, 2^28241602560 is an apocalyptic number.

28241602560 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 28241602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51372921600).

28241602560 is an abundant number, since it is smaller than the sum of its proper divisors (74504240640).

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

28241602560 is an equidigital number, since it uses as much as digits as its factorization.

28241602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 28241602560 in words is "twenty-eight billion, two hundred forty-one million, six hundred two thousand, five hundred sixty".