28284228400 has 120 divisors (see below), whose sum is σ = 71644856400. Its totient is φ = 10700928000.

The previous prime is 28284228383. The next prime is 28284228433. The reversal of 28284228400 is 482248282.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 5324946 + ... + 5330254.

It is an arithmetic number, because the mean of its divisors is an integer number (597040470).

Almost surely, 2^28284228400 is an apocalyptic number.

28284228400 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 28284228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35822428200).

28284228400 is an abundant number, since it is smaller than the sum of its proper divisors (43360628000).

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

28284228400 is a wasteful number, since it uses less digits than its factorization.

28284228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6047 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 28284228400 in words is "twenty-eight billion, two hundred eighty-four million, two hundred twenty-eight thousand, four hundred".