28282790400 has 240 divisors, whose sum is σ = 94833540384. Its totient is φ = 7428833280.

The previous prime is 28282790383. The next prime is 28282790477. The reversal of 28282790400 is 409728282.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2567304 + ... + 2578296.

Almost surely, 2^28282790400 is an apocalyptic number.

28282790400 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 28282790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47416770192).

28282790400 is an abundant number, since it is smaller than the sum of its proper divisors (66550749984).

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

28282790400 is a wasteful number, since it uses less digits than its factorization.

28282790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11091 (or 11070 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 28282790400 in words is "twenty-eight billion, two hundred eighty-two million, seven hundred ninety thousand, four hundred".