28090616448 has 128 divisors (see below), whose sum is σ = 75560163840. Its totient is φ = 9245491200.

The previous prime is 28090616441. The next prime is 28090616461. The reversal of 28090616448 is 84461609082.

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

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 = 28090616397 and 28090616406.

It is not an unprimeable number, because it can be changed into a prime (28090616441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28345233 + ... + 28346223.

It is an arithmetic number, because the mean of its divisors is an integer number (590313780).

Almost surely, 2^28090616448 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 28090616448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37780081920).

28090616448 is an abundant number, since it is smaller than the sum of its proper divisors (47469547392).

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

28090616448 is an equidigital number, since it uses as much as digits as its factorization.

28090616448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 28090616448 in words is "twenty-eight billion, ninety million, six hundred sixteen thousand, four hundred forty-eight".