28853078400 has 288 divisors, whose sum is σ = 103567389120. Its totient is φ = 7648358400.

The previous prime is 28853078357. The next prime is 28853078407. The reversal of 28853078400 is 487035882.

28853078400 is a `hidden beast` number, since 2 + 8 + 8 + 530 + 78 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28853078407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4979505 + ... + 4985295.

It is an arithmetic number, because the mean of its divisors is an integer number (359608990).

Almost surely, 2^28853078400 is an apocalyptic number.

28853078400 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 28853078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51783694560).

28853078400 is an abundant number, since it is smaller than the sum of its proper divisors (74714310720).

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

28853078400 is a wasteful number, since it uses less digits than its factorization.

28853078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5994 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 28853078400 in words is "twenty-eight billion, eight hundred fifty-three million, seventy-eight thousand, four hundred".