28135827000 has 384 divisors, whose sum is σ = 100918958400. Its totient is φ = 7050240000.

The previous prime is 28135826969. The next prime is 28135827001. The reversal of 28135827000 is 72853182.

28135827000 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 582 + 70 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28135827001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23426400 + ... + 23427600.

Almost surely, 2^28135827000 is an apocalyptic number.

28135827000 is a gapful number since it is divisible by the number (20) 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 28135827000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50459479200).

28135827000 is an abundant number, since it is smaller than the sum of its proper divisors (72783131400).

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

28135827000 is a wasteful number, since it uses less digits than its factorization.

28135827000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 28135827000 in words is "twenty-eight billion, one hundred thirty-five million, eight hundred twenty-seven thousand".