28440113345280 has 1728 divisors, whose sum is σ = 128707387361280. Its totient is φ = 5626623688704.

The previous prime is 28440113345243. The next prime is 28440113345353. The reversal of 28440113345280 is 8254331104482.

28440113345280 is a `hidden beast` number, since 2 + 8 + 4 + 4 + 0 + 113 + 3 + 4 + 528 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5043464701 + ... + 5043470339.

It is an arithmetic number, because the mean of its divisors is an integer number (74483441760).

Almost surely, 2^{28440113345280} is an apocalyptic number.

28440113345280 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 28440113345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64353693680640).

28440113345280 is an abundant number, since it is smaller than the sum of its proper divisors (100267274016000).

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

28440113345280 is a wasteful number, since it uses less digits than its factorization.

28440113345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 5969 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 28440113345280 in words is "twenty-eight trillion, four hundred forty billion, one hundred thirteen million, three hundred forty-five thousand, two hundred eighty".