28003289653248 has 1344 divisors, whose sum is σ = 100350843898368. Its totient is φ = 6757401231360.

The previous prime is 28003289653177. The next prime is 28003289653259. The reversal of 28003289653248 is 84235698230082.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 28003289653191 and 28003289653200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23913995703 + ... + 23913996873.

It is an arithmetic number, because the mean of its divisors is an integer number (74665806472).

Almost surely, 2^{28003289653248} is an apocalyptic number.

28003289653248 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 28003289653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50175421949184).

28003289653248 is an abundant number, since it is smaller than the sum of its proper divisors (72347554245120).

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

28003289653248 is a wasteful number, since it uses less digits than its factorization.

28003289653248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 28003289653248 in words is "twenty-eight trillion, three billion, two hundred eighty-nine million, six hundred fifty-three thousand, two hundred forty-eight".