28816669200 has 480 divisors, whose sum is σ = 107275276800. Its totient is φ = 6538752000.

The previous prime is 28816669183. The next prime is 28816669201. The reversal of 28816669200 is 296661882.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28816669200.

It is not an unprimeable number, because it can be changed into a prime (28816669201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22320555 + ... + 22321845.

It is an arithmetic number, because the mean of its divisors is an integer number (223490160).

Almost surely, 2^28816669200 is an apocalyptic number.

28816669200 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 28816669200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53637638400).

28816669200 is an abundant number, since it is smaller than the sum of its proper divisors (78458607600).

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

28816669200 is a wasteful number, since it uses less digits than its factorization.

28816669200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 28816669200 in words is "twenty-eight billion, eight hundred sixteen million, six hundred sixty-nine thousand, two hundred".