28406396240352 has 576 divisors, whose sum is σ = 92196273641472. Its totient is φ = 8235302400000.

The previous prime is 28406396240297. The next prime is 28406396240513. The reversal of 28406396240352 is 25304269360482.

28406396240352 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 6 + 3 + 9 + 624 + 0 + 3 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 805814727 + ... + 805849977.

It is an arithmetic number, because the mean of its divisors is an integer number (160062975072).

Almost surely, 2^{28406396240352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28406396240352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46098136820736).

28406396240352 is an abundant number, since it is smaller than the sum of its proper divisors (63789877401120).

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

28406396240352 is a wasteful number, since it uses less digits than its factorization.

28406396240352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35495 (or 35484 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 28406396240352 in words is "twenty-eight trillion, four hundred six billion, three hundred ninety-six million, two hundred forty thousand, three hundred fifty-two".