28378342224 has 100 divisors (see below), whose sum is σ = 82441503540. Its totient is φ = 9424166400.

The previous prime is 28378342193. The next prime is 28378342247. The reversal of 28378342224 is 42224387382.

28378342224 is a `hidden beast` number, since 2 + 83 + 7 + 8 + 342 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10269795600 + 18108546624 = 101340^2 + 134568^2 .

It is a super-2 number, since 2×28378342224² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28378342224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 307924 + ... + 389324.

Almost surely, 2^28378342224 is an apocalyptic number.

28378342224 is a gapful number since it is divisible by the number (24) 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 28378342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41220751770).

28378342224 is an abundant number, since it is smaller than the sum of its proper divisors (54063161316).

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

28378342224 is a wasteful number, since it uses less digits than its factorization.

28378342224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81690 (or 81675 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The spelling of 28378342224 in words is "twenty-eight billion, three hundred seventy-eight million, three hundred forty-two thousand, two hundred twenty-four".