28859961600 has 324 divisors, whose sum is σ = 109254046356. Its totient is φ = 7243038720.

The previous prime is 28859961589. The next prime is 28859961619. The reversal of 28859961600 is 616995882.

It is a happy number.

28859961600 is a `hidden beast` number, since 28 + 8 + 5 + 9 + 9 + 6 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 506790144 + 28353171456 = 22512^2 + 168384^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 964464 + ... + 993936.

Almost surely, 2^28859961600 is an apocalyptic number.

28859961600 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 28859961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54627023178).

28859961600 is an abundant number, since it is smaller than the sum of its proper divisors (80394084756).

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

28859961600 is a wasteful number, since it uses less digits than its factorization.

28859961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29522 (or 29500 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 28859961600 in words is "twenty-eight billion, eight hundred fifty-nine million, nine hundred sixty-one thousand, six hundred".