28971546249600 has 576 divisors, whose sum is σ = 104624249043600. Its totient is φ = 7633063526400.

The previous prime is 28971546249577. The next prime is 28971546249617. The reversal of 28971546249600 is 694264517982.

28971546249600 is a `hidden beast` number, since 2 + 8 + 9 + 7 + 1 + 546 + 24 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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, 863954434 + ... + 863987966.

Almost surely, 2^{28971546249600} is an apocalyptic number.

28971546249600 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 28971546249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52312124521800).

28971546249600 is an abundant number, since it is smaller than the sum of its proper divisors (75652702794000).

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

28971546249600 is a wasteful number, since it uses less digits than its factorization.

28971546249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33923 (or 33903 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 28971546249600 in words is "twenty-eight trillion, nine hundred seventy-one billion, five hundred forty-six million, two hundred forty-nine thousand, six hundred".