28384689600 has 672 divisors, whose sum is σ = 108472224000. Its totient is φ = 7211151360.

The previous prime is 28384689587. The next prime is 28384689617. The reversal of 28384689600 is 698648382.

28384689600 is a `hidden beast` number, since 28 + 3 + 8 + 4 + 6 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174139119 + ... + 174139281.

It is an arithmetic number, because the mean of its divisors is an integer number (161417000).

Almost surely, 2^28384689600 is an apocalyptic number.

28384689600 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 28384689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54236112000).

28384689600 is an abundant number, since it is smaller than the sum of its proper divisors (80087534400).

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

28384689600 is a wasteful number, since it uses less digits than its factorization.

28384689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 28384689600 in words is "twenty-eight billion, three hundred eighty-four million, six hundred eighty-nine thousand, six hundred".