28352302439040 has 512 divisors, whose sum is σ = 107277058944000. Its totient is φ = 7055775682560.

The previous prime is 28352302439023. The next prime is 28352302439113. The reversal of 28352302439040 is 4093420325382.

28352302439040 is a `hidden beast` number, since 2 + 8 + 3 + 5 + 230 + 24 + 390 + 4 + 0 = 666.

It is a super-2 number, since 2×28352302439040² (a number of 28 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 21352995 + ... + 22641885.

It is an arithmetic number, because the mean of its divisors is an integer number (209525505750).

Almost surely, 2^{28352302439040} is an apocalyptic number.

28352302439040 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 28352302439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53638529472000).

28352302439040 is an abundant number, since it is smaller than the sum of its proper divisors (78924756504960).

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

28352302439040 is a wasteful number, since it uses less digits than its factorization.

28352302439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289005 (or 1288987 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 28352302439040 in words is "twenty-eight trillion, three hundred fifty-two billion, three hundred two million, four hundred thirty-nine thousand, forty".