28252714003200 has 324 divisors, whose sum is σ = 101136730928688. Its totient is φ = 7524591820800.

The previous prime is 28252714003117. The next prime is 28252714003229. The reversal of 28252714003200 is 230041725282.

28252714003200 is a `hidden beast` number, since 2 + 8 + 25 + 27 + 1 + 400 + 3 + 200 = 666.

It is a super-2 number, since 2×28252714003200² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45599485 + ... + 46214915.

Almost surely, 2^{28252714003200} is an apocalyptic number.

28252714003200 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 28252714003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50568365464344).

28252714003200 is an abundant number, since it is smaller than the sum of its proper divisors (72884016925488).

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

28252714003200 is a wasteful number, since it uses less digits than its factorization.

28252714003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616260 (or 616238 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 28252714003200 its reverse (230041725282), we get a palindrome (28482755728482).

The spelling of 28252714003200 in words is "twenty-eight trillion, two hundred fifty-two billion, seven hundred fourteen million, three thousand, two hundred".