28504859947200 has 2352 divisors, whose sum is σ = 133620170428416. Its totient is φ = 5819533516800.

The previous prime is 28504859947181. The next prime is 28504859947253. The reversal of 28504859947200 is 274995840582.

28504859947200 is a `hidden beast` number, since 2 + 8 + 5 + 0 + 485 + 99 + 47 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3290410069 + ... + 3290418731.

Almost surely, 2^{28504859947200} is an apocalyptic number.

28504859947200 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 28504859947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66810085214208).

28504859947200 is an abundant number, since it is smaller than the sum of its proper divisors (105115310481216).

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

28504859947200 is a wasteful number, since it uses less digits than its factorization.

28504859947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8754 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 28504859947200 in words is "twenty-eight trillion, five hundred four billion, eight hundred fifty-nine million, nine hundred forty-seven thousand, two hundred".