28814098248 has 224 divisors, whose sum is σ = 87547332600. Its totient is φ = 8834033664.

The previous prime is 28814098241. The next prime is 28814098297. The reversal of 28814098248 is 84289041882.

It can be written as a sum of positive squares in 4 ways, for example, as 23074217604 + 5739880644 = 151902^2 + 75762^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28814098194 and 28814098203.

It is not an unprimeable number, because it can be changed into a prime (28814098241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 29491936 + ... + 29492912.

Almost surely, 2^28814098248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28814098248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43773666300).

28814098248 is an abundant number, since it is smaller than the sum of its proper divisors (58733234352).

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

28814098248 is a wasteful number, since it uses less digits than its factorization.

28814098248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 28814098248 in words is "twenty-eight billion, eight hundred fourteen million, ninety-eight thousand, two hundred forty-eight".