28090653333120 has 768 divisors, whose sum is σ = 116593217095680. Its totient is φ = 6096348610560.

The previous prime is 28090653333101. The next prime is 28090653333217. The reversal of 28090653333120 is 2133335609082.

28090653333120 is a `hidden beast` number, since 2 + 8 + 0 + 90 + 6 + 533 + 3 + 3 + 1 + 20 = 666.

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

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, 66033742 + ... + 66457778.

It is an arithmetic number, because the mean of its divisors is an integer number (151814084760).

Almost surely, 2^{28090653333120} is an apocalyptic number.

28090653333120 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 28090653333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58296608547840).

28090653333120 is an abundant number, since it is smaller than the sum of its proper divisors (88502563762560).

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

28090653333120 is a wasteful number, since it uses less digits than its factorization.

28090653333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424153 (or 424138 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 28090653333120 in words is "twenty-eight trillion, ninety billion, six hundred fifty-three million, three hundred thirty-three thousand, one hundred twenty".