28583093452800 has 1440 divisors, whose sum is σ = 107042937813504. Its totient is φ = 6689914880000.

The previous prime is 28583093452789. The next prime is 28583093452807. The reversal of 28583093452800 is 825439038582.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28583093452807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19698892075 + ... + 19698893525.

Almost surely, 2^{28583093452800} is an apocalyptic number.

28583093452800 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 28583093452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53521468906752).

28583093452800 is an abundant number, since it is smaller than the sum of its proper divisors (78459844360704).

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

28583093452800 is a wasteful number, since it uses less digits than its factorization.

28583093452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 28583093452800 in words is "twenty-eight trillion, five hundred eighty-three billion, ninety-three million, four hundred fifty-two thousand, eight hundred".