28688584454400 has 648 divisors, whose sum is σ = 107917577937120. Its totient is φ = 6690117058560.

The previous prime is 28688584454399. The next prime is 28688584454473. The reversal of 28688584454400 is 445448588682.

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, 61418532 + ... + 61883868.

Almost surely, 2^{28688584454400} is an apocalyptic number.

28688584454400 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 28688584454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53958788968560).

28688584454400 is an abundant number, since it is smaller than the sum of its proper divisors (79228993482720).

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

28688584454400 is a wasteful number, since it uses less digits than its factorization.

28688584454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465411 (or 465379 counting only the distinct ones).

The product of its (nonzero) digits is 314572800, while the sum is 66.

The spelling of 28688584454400 in words is "twenty-eight trillion, six hundred eighty-eight billion, five hundred eighty-four million, four hundred fifty-four thousand, four hundred".