28122856302240 has 576 divisors, whose sum is σ = 111364752635136. Its totient is φ = 6329581387776.

The previous prime is 28122856302179. The next prime is 28122856302241. The reversal of 28122856302240 is 4220365822182.

28122856302240 is a `hidden beast` number, since 2 + 8 + 1 + 2 + 2 + 8 + 5 + 630 + 2 + 2 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28122856302241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 451038747 + ... + 451101093.

It is an arithmetic number, because the mean of its divisors is an integer number (193341584436).

Almost surely, 2^{28122856302240} is an apocalyptic number.

28122856302240 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 28122856302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55682376317568).

28122856302240 is an abundant number, since it is smaller than the sum of its proper divisors (83241896332896).

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

28122856302240 is a wasteful number, since it uses less digits than its factorization.

28122856302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63061 (or 63050 counting only the distinct ones).

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

The spelling of 28122856302240 in words is "twenty-eight trillion, one hundred twenty-two billion, eight hundred fifty-six million, three hundred two thousand, two hundred forty".