28816642800 has 360 divisors, whose sum is σ = 109450673280. Its totient is φ = 6962956800.

The previous prime is 28816642787. The next prime is 28816642817. The reversal of 28816642800 is 824661882.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14215387 + ... + 14217413.

It is an arithmetic number, because the mean of its divisors is an integer number (304029648).

Almost surely, 2^28816642800 is an apocalyptic number.

28816642800 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 28816642800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54725336640).

28816642800 is an abundant number, since it is smaller than the sum of its proper divisors (80634030480).

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

28816642800 is a wasteful number, since it uses less digits than its factorization.

28816642800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 28816642800 in words is "twenty-eight billion, eight hundred sixteen million, six hundred forty-two thousand, eight hundred".