28242038880 has 576 divisors, whose sum is σ = 109967336640. Its totient is φ = 6763806720.

The previous prime is 28242038879. The next prime is 28242038899. The reversal of 28242038880 is 8883024282.

It is a happy number.

28242038880 is a `hidden beast` number, since 28 + 242 + 0 + 388 + 8 + 0 = 666.

It is a super-2 number, since 2×28242038880² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 50703562 + ... + 50704118.

It is an arithmetic number, because the mean of its divisors is an integer number (190915515).

Almost surely, 2^28242038880 is an apocalyptic number.

28242038880 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 28242038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54983668320).

28242038880 is an abundant number, since it is smaller than the sum of its proper divisors (81725297760).

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

28242038880 is a wasteful number, since it uses less digits than its factorization.

28242038880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 28242038880 in words is "twenty-eight billion, two hundred forty-two million, thirty-eight thousand, eight hundred eighty".