28144032000 has 864 divisors, whose sum is σ = 112831939584. Its totient is φ = 6193152000.

The previous prime is 28144031989. The next prime is 28144032011. The reversal of 28144032000 is 23044182.

It is an interprime number because it is at equal distance from previous prime (28144031989) and next prime (28144032011).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145823904 + ... + 145824096.

Almost surely, 2^28144032000 is an apocalyptic number.

28144032000 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 28144032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56415969792).

28144032000 is an abundant number, since it is smaller than the sum of its proper divisors (84687907584).

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

28144032000 is a wasteful number, since it uses less digits than its factorization.

28144032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 28144032000 its reverse (23044182), we get a palindrome (28167076182).

The spelling of 28144032000 in words is "twenty-eight billion, one hundred forty-four million, thirty-two thousand".