28350283106880 has 1792 divisors, whose sum is σ = 124955086233600. Its totient is φ = 5906515230720.

The previous prime is 28350283106843. The next prime is 28350283106917. The reversal of 28350283106880 is 8860138205382.

28350283106880 is a `hidden beast` number, since 2 + 8 + 350 + 283 + 1 + 0 + 6 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28350283106843) and next prime (28350283106917).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3439312039 + ... + 3439320281.

It is an arithmetic number, because the mean of its divisors is an integer number (69729400800).

Almost surely, 2^{28350283106880} is an apocalyptic number.

28350283106880 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 28350283106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62477543116800).

28350283106880 is an abundant number, since it is smaller than the sum of its proper divisors (96604803126720).

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

28350283106880 is a wasteful number, since it uses less digits than its factorization.

28350283106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8409 (or 8393 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 28350283106880 in words is "twenty-eight trillion, three hundred fifty billion, two hundred eighty-three million, one hundred six thousand, eight hundred eighty".