28512000000000 has 1500 divisors, whose sum is σ = 116156443183704. Its totient is φ = 6912000000000.

The previous prime is 28511999999921. The next prime is 28512000000017. The reversal of 28512000000000 is 21582.

It is a tau number, because it is divible by the number of its divisors (1500).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 28512000000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2591999999995 + ... + 2592000000005.

Almost surely, 2^{28512000000000} is an apocalyptic number.

28512000000000 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 28512000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58078221591852).

28512000000000 is an abundant number, since it is smaller than the sum of its proper divisors (87644443183704).

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

28512000000000 is an frugal number, since it uses more digits than its factorization.

28512000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 28512000000000 its reverse (21582), we get a palindrome (28512000021582).

The spelling of 28512000000000 in words is "twenty-eight trillion, five hundred twelve billion", and thus it is an aban number.