28980938370240 has 336 divisors, whose sum is σ = 100560558978048. Its totient is φ = 7660277194752.

The previous prime is 28980938370121. The next prime is 28980938370259. The reversal of 28980938370240 is 4207383908982.

28980938370240 is a `hidden beast` number, since 2 + 8 + 9 + 8 + 0 + 9 + 383 + 7 + 0 + 240 = 666.

28980938370240 is digitally balanced in base 5 and base 6, because in such bases it contains all the possibile digits an equal number of times.

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, 399739434 + ... + 399811926.

Almost surely, 2^{28980938370240} is an apocalyptic number.

28980938370240 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 28980938370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50280279489024).

28980938370240 is an abundant number, since it is smaller than the sum of its proper divisors (71579620607808).

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

28980938370240 is a wasteful number, since it uses less digits than its factorization.

28980938370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73736 (or 73723 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 28980938370240 in words is "twenty-eight trillion, nine hundred eighty billion, nine hundred thirty-eight million, three hundred seventy thousand, two hundred forty".