28342241280 has 384 divisors, whose sum is σ = 105151737600. Its totient is φ = 7227703296.

The previous prime is 28342241269. The next prime is 28342241281. The reversal of 28342241280 is 8214224382.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28342241281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6356812 + ... + 6361268.

It is an arithmetic number, because the mean of its divisors is an integer number (273832650).

Almost surely, 2^28342241280 is an apocalyptic number.

28342241280 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 28342241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52575868800).

28342241280 is an abundant number, since it is smaller than the sum of its proper divisors (76809496320).

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

28342241280 is a wasteful number, since it uses less digits than its factorization.

28342241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 28342241280 in words is "twenty-eight billion, three hundred forty-two million, two hundred forty-one thousand, two hundred eighty".