28009759440 has 320 divisors, whose sum is σ = 94868928000. Its totient is φ = 6795436032.

The previous prime is 28009759429. The next prime is 28009759441. The reversal of 28009759440 is 4495790082.

It is a super-2 number, since 2×28009759440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28009759440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28009759441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122313246 + ... + 122313474.

It is an arithmetic number, because the mean of its divisors is an integer number (296465400).

Almost surely, 2^28009759440 is an apocalyptic number.

28009759440 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 28009759440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47434464000).

28009759440 is an abundant number, since it is smaller than the sum of its proper divisors (66859168560).

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

28009759440 is a wasteful number, since it uses less digits than its factorization.

28009759440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 28009759440 in words is "twenty-eight billion, nine million, seven hundred fifty-nine thousand, four hundred forty".