28634448268800 has 2160 divisors, whose sum is σ = 116539336804176. Its totient is φ = 6713118720000.

The previous prime is 28634448268753. The next prime is 28634448268859. The reversal of 28634448268800 is 886284443682.

28634448268800 is a `hidden beast` number, since 2 + 86 + 34 + 448 + 2 + 6 + 8 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 283509388750 + ... + 283509388850.

Almost surely, 2^{28634448268800} is an apocalyptic number.

28634448268800 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 28634448268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58269668402088).

28634448268800 is an abundant number, since it is smaller than the sum of its proper divisors (87904888535376).

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

28634448268800 is a wasteful number, since it uses less digits than its factorization.

28634448268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 113246208, while the sum is 63.

The spelling of 28634448268800 in words is "twenty-eight trillion, six hundred thirty-four billion, four hundred forty-eight million, two hundred sixty-eight thousand, eight hundred".