28454821248 has 128 divisors (see below), whose sum is σ = 86444951040. Its totient is φ = 8123904000.

The previous prime is 28454821237. The next prime is 28454821309. The reversal of 28454821248 is 84212845482.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 28454821197 and 28454821206.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4622973 + ... + 4629123.

It is an arithmetic number, because the mean of its divisors is an integer number (675351180).

Almost surely, 2^28454821248 is an apocalyptic number.

28454821248 is a gapful number since it is divisible by the number (28) 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 28454821248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43222475520).

28454821248 is an abundant number, since it is smaller than the sum of its proper divisors (57990129792).

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

28454821248 is a wasteful number, since it uses less digits than its factorization.

28454821248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7896 (or 7884 counting only the distinct ones).

The product of its digits is 1310720, while the sum is 48.

The spelling of 28454821248 in words is "twenty-eight billion, four hundred fifty-four million, eight hundred twenty-one thousand, two hundred forty-eight".