28593438048 has 1080 divisors, whose sum is σ = 112051696680. Its totient is φ = 7106641920.

The previous prime is 28593438019. The next prime is 28593438059. The reversal of 28593438048 is 84083439582.

28593438048 is a `hidden beast` number, since 2 + 8 + 593 + 4 + 3 + 8 + 0 + 48 = 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 = 28593437985 and 28593438003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 697400908 + ... + 697400948.

It is an arithmetic number, because the mean of its divisors is an integer number (103751571).

Almost surely, 2^28593438048 is an apocalyptic number.

28593438048 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 28593438048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56025848340).

28593438048 is an abundant number, since it is smaller than the sum of its proper divisors (83458258632).

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

28593438048 is a wasteful number, since it uses less digits than its factorization.

28593438048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 28593438048 in words is "twenty-eight billion, five hundred ninety-three million, four hundred thirty-eight thousand, forty-eight".