28094169600 has 1200 divisors, whose sum is σ = 122792736000. Its totient is φ = 6340239360.

The previous prime is 28094169589. The next prime is 28094169619. The reversal of 28094169600 is 696149082.

It is a happy number.

28094169600 is a `hidden beast` number, since 28 + 0 + 9 + 4 + 16 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 355622361 + ... + 355622439.

It is an arithmetic number, because the mean of its divisors is an integer number (102327280).

Almost surely, 2^28094169600 is an apocalyptic number.

28094169600 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 28094169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61396368000).

28094169600 is an abundant number, since it is smaller than the sum of its proper divisors (94698566400).

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

28094169600 is an frugal number, since it uses more digits than its factorization.

28094169600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 28094169600 in words is "twenty-eight billion, ninety-four million, one hundred sixty-nine thousand, six hundred".