28033413120 has 624 divisors, whose sum is σ = 103900148352. Its totient is φ = 7245987840.

The previous prime is 28033413101. The next prime is 28033413137. The reversal of 28033413120 is 2131433082.

28033413120 is a `hidden beast` number, since 2 + 8 + 0 + 3 + 341 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213995455 + ... + 213995585.

It is an arithmetic number, because the mean of its divisors is an integer number (166506648).

Almost surely, 2^28033413120 is an apocalyptic number.

28033413120 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 28033413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51950074176).

28033413120 is an abundant number, since it is smaller than the sum of its proper divisors (75866735232).

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

28033413120 is an equidigital number, since it uses as much as digits as its factorization.

28033413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 28033413120 in words is "twenty-eight billion, thirty-three million, four hundred thirteen thousand, one hundred twenty".