28405829445210 has 256 divisors, whose sum is σ = 87695163187200. Its totient is φ = 6488593853760.

The previous prime is 28405829445167. The next prime is 28405829445223. The reversal of 28405829445210 is 1254492850482.

It is a happy number.

28405829445210 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 58 + 29 + 44 + 521 + 0 = 666.

It is a super-2 number, since 2×28405829445210² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 241670355 + ... + 241787865.

It is an arithmetic number, because the mean of its divisors is an integer number (342559231200).

Almost surely, 2^{28405829445210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28405829445210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43847581593600).

28405829445210 is an abundant number, since it is smaller than the sum of its proper divisors (59289333741990).

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

28405829445210 is a wasteful number, since it uses less digits than its factorization.

28405829445210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119125 (or 119107 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 28405829445210 in words is "twenty-eight trillion, four hundred five billion, eight hundred twenty-nine million, four hundred forty-five thousand, two hundred ten".