28394323200 has 270 divisors, whose sum is σ = 104988667014. Its totient is φ = 7571681280.

The previous prime is 28394323189. The next prime is 28394323207. The reversal of 28394323200 is 232349382.

It can be written as a sum of positive squares in 3 ways, for example, as 7741184256 + 20653138944 = 87984^2 + 143712^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28394323207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 491014 + ... + 545786.

Almost surely, 2^28394323200 is an apocalyptic number.

28394323200 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 28394323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52494333507).

28394323200 is an abundant number, since it is smaller than the sum of its proper divisors (76594343814).

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

28394323200 is an equidigital number, since it uses as much as digits as its factorization.

28394323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54811 (or 54783 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 28394323200 in words is "twenty-eight billion, three hundred ninety-four million, three hundred twenty-three thousand, two hundred".