28754387200 has 864 divisors, whose sum is σ = 97083786240. Its totient is φ = 8161689600.

The previous prime is 28754387183. The next prime is 28754387201. The reversal of 28754387200 is 278345782.

It is not an unprimeable number, because it can be changed into a prime (28754387201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 346438359 + ... + 346438441.

Almost surely, 2^28754387200 is an apocalyptic number.

28754387200 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 28754387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48541893120).

28754387200 is an abundant number, since it is smaller than the sum of its proper divisors (68329399040).

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

28754387200 is a wasteful number, since it uses less digits than its factorization.

28754387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 28754387200 in words is "twenty-eight billion, seven hundred fifty-four million, three hundred eighty-seven thousand, two hundred".