28388801092338 has 256 divisors, whose sum is σ = 65662850880000. Its totient is φ = 9085586227200.

The previous prime is 28388801092291. The next prime is 28388801092373. The reversal of 28388801092338 is 83329010888382.

28388801092338 is a `hidden beast` number, since 2 + 8 + 388 + 8 + 0 + 10 + 9 + 233 + 8 = 666.

It is a super-3 number, since 3×28388801092338³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30558450658 + ... + 30558451586.

It is an arithmetic number, because the mean of its divisors is an integer number (256495511250).

Almost surely, 2^{28388801092338} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28388801092338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32831425440000).

28388801092338 is an abundant number, since it is smaller than the sum of its proper divisors (37274049787662).

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

28388801092338 is a wasteful number, since it uses less digits than its factorization.

28388801092338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 28388801092338 in words is "twenty-eight trillion, three hundred eighty-eight billion, eight hundred one million, ninety-two thousand, three hundred thirty-eight".