28500384433950 has 768 divisors, whose sum is σ = 94937623603200. Its totient is φ = 6272945856000.

The previous prime is 28500384433921. The next prime is 28500384434047. The reversal of 28500384433950 is 5933448300582.

28500384433950 is a `hidden beast` number, since 2 + 8 + 500 + 3 + 8 + 4 + 43 + 3 + 95 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 953845111 + ... + 953874989.

It is an arithmetic number, because the mean of its divisors is an integer number (123616697400).

Almost surely, 2^{28500384433950} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28500384433950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47468811801600).

28500384433950 is an abundant number, since it is smaller than the sum of its proper divisors (66437239169250).

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

28500384433950 is a wasteful number, since it uses less digits than its factorization.

28500384433950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29997 (or 29974 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 28500384433950 in words is "twenty-eight trillion, five hundred billion, three hundred eighty-four million, four hundred thirty-three thousand, nine hundred fifty".