28342258560 has 1536 divisors, whose sum is σ = 135628992000. Its totient is φ = 5511905280.

The previous prime is 28342258531. The next prime is 28342258579. The reversal of 28342258560 is 6585224382.

28342258560 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 2 + 2 + 585 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158336551 + ... + 158336729.

It is an arithmetic number, because the mean of its divisors is an integer number (88300125).

Almost surely, 2^28342258560 is an apocalyptic number.

28342258560 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 28342258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67814496000).

28342258560 is an abundant number, since it is smaller than the sum of its proper divisors (107286733440).

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

28342258560 is a wasteful number, since it uses less digits than its factorization.

28342258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 28342258560 in words is "twenty-eight billion, three hundred forty-two million, two hundred fifty-eight thousand, five hundred sixty".