28078800474240 has 1024 divisors, whose sum is σ = 101954930688000. Its totient is φ = 7301874843648.

The previous prime is 28078800474209. The next prime is 28078800474253. The reversal of 28078800474240 is 4247400887082.

28078800474240 is a `hidden beast` number, since 2 + 8 + 0 + 78 + 80 + 0 + 474 + 24 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45508590412 + ... + 45508591028.

It is an arithmetic number, because the mean of its divisors is an integer number (99565362000).

Almost surely, 2^{28078800474240} is an apocalyptic number.

28078800474240 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 28078800474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50977465344000).

28078800474240 is an abundant number, since it is smaller than the sum of its proper divisors (73876130213760).

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

28078800474240 is a wasteful number, since it uses less digits than its factorization.

28078800474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 28078800474240 in words is "twenty-eight trillion, seventy-eight billion, eight hundred million, four hundred seventy-four thousand, two hundred forty".