28754032000 has 128 divisors (see below), whose sum is σ = 73423378080. Its totient is φ = 11190528000.

The previous prime is 28754031967. The next prime is 28754032039. The reversal of 28754032000 is 23045782.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567715 + ... + 616285.

Almost surely, 2^28754032000 is an apocalyptic number.

28754032000 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 28754032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36711689040).

28754032000 is an abundant number, since it is smaller than the sum of its proper divisors (44669346080).

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

28754032000 is an equidigital number, since it uses as much as digits as its factorization.

28754032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48637 (or 48615 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

Adding to 28754032000 its reverse (23045782), we get a palindrome (28777077782).

The spelling of 28754032000 in words is "twenty-eight billion, seven hundred fifty-four million, thirty-two thousand".