28432583884800 has 1512 divisors, whose sum is σ = 111768081975200. Its totient is φ = 7084682772480.

The previous prime is 28432583884781. The next prime is 28432583884819. The reversal of 28432583884800 is 848838523482.

28432583884800 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 2 + 583 + 8 + 8 + 48 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28432583884781) and next prime (28432583884819).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 204550963131 + ... + 204550963269.

Almost surely, 2^{28432583884800} is an apocalyptic number.

28432583884800 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 28432583884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55884040987600).

28432583884800 is an abundant number, since it is smaller than the sum of its proper divisors (83335498090400).

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

28432583884800 is an frugal number, since it uses more digits than its factorization.

28432583884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 63.

The spelling of 28432583884800 in words is "twenty-eight trillion, four hundred thirty-two billion, five hundred eighty-three million, eight hundred eighty-four thousand, eight hundred".