28827316800 has 840 divisors, whose sum is σ = 116617089600. Its totient is φ = 6952366080.

The previous prime is 28827316759. The next prime is 28827316813. The reversal of 28827316800 is 861372882.

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 119 ways as a sum of consecutive naturals, for example, 56634946 + ... + 56635454.

Almost surely, 2^28827316800 is an apocalyptic number.

28827316800 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 28827316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58308544800).

28827316800 is an abundant number, since it is smaller than the sum of its proper divisors (87789772800).

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

28827316800 is a wasteful number, since it uses less digits than its factorization.

28827316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 28827316800 in words is "twenty-eight billion, eight hundred twenty-seven million, three hundred sixteen thousand, eight hundred".