28017819648 has 720 divisors, whose sum is σ = 106576858080. Its totient is φ = 7134511104.

The previous prime is 28017819647. The next prime is 28017819703. The reversal of 28017819648 is 84691871082.

28017819648 is a `hidden beast` number, since 280 + 178 + 196 + 4 + 8 = 666.

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 = 28017819594 and 28017819603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28017819647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 966131698 + ... + 966131726.

It is an arithmetic number, because the mean of its divisors is an integer number (148023414).

Almost surely, 2^28017819648 is an apocalyptic number.

28017819648 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 28017819648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53288429040).

28017819648 is an abundant number, since it is smaller than the sum of its proper divisors (78559038432).

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

28017819648 is an frugal number, since it uses more digits than its factorization.

28017819648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 28017819648 in words is "twenty-eight billion, seventeen million, eight hundred nineteen thousand, six hundred forty-eight".