28408417873920 has 1872 divisors, whose sum is σ = 120114367577568. Its totient is φ = 6421059993600.

The previous prime is 28408417873909. The next prime is 28408417873921. The reversal of 28408417873920 is 2937871480482.

28408417873920 is a `hidden beast` number, since 2 + 8 + 408 + 4 + 1 + 78 + 73 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28408417873921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23653969320 + ... + 23653970520.

It is an arithmetic number, because the mean of its divisors is an integer number (64163657894).

Almost surely, 2^{28408417873920} is an apocalyptic number.

28408417873920 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 28408417873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60057183788784).

28408417873920 is an abundant number, since it is smaller than the sum of its proper divisors (91705949703648).

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

28408417873920 is an equidigital number, since it uses as much as digits as its factorization.

28408417873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 28408417873920 in words is "twenty-eight trillion, four hundred eight billion, four hundred seventeen million, eight hundred seventy-three thousand, nine hundred twenty".