28983425587200 has 1728 divisors, whose sum is σ = 123373088616960. Its totient is φ = 6364790784000.

The previous prime is 28983425587189. The next prime is 28983425587243. The reversal of 28983425587200 is 278552438982.

It is a happy number.

28983425587200 is a `hidden beast` number, since 2 + 8 + 9 + 8 + 3 + 4 + 2 + 558 + 72 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8860721565 + ... + 8860724835.

It is an arithmetic number, because the mean of its divisors is an integer number (71396463320).

Almost surely, 2^{28983425587200} is an apocalyptic number.

28983425587200 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 28983425587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61686544308480).

28983425587200 is an abundant number, since it is smaller than the sum of its proper divisors (94389663029760).

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

28983425587200 is a wasteful number, since it uses less digits than its factorization.

28983425587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 28983425587200 in words is "twenty-eight trillion, nine hundred eighty-three billion, four hundred twenty-five million, five hundred eighty-seven thousand, two hundred".