28238400 has 252 divisors, whose sum is σ = 105023412. Its totient is φ = 7188480.

The previous prime is 28238393. The next prime is 28238429. The reversal of 28238400 is 483282.

28238400 is a `hidden beast` number, since 28 + 238 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1115136 + 27123264 = 1056^2 + 5208^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532774 + ... + 532826.

Almost surely, 2^28238400 is an apocalyptic number.

28238400 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 28238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52511706).

28238400 is an abundant number, since it is smaller than the sum of its proper divisors (76785012).

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

28238400 is a wasteful number, since it uses less digits than its factorization.

28238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28238400 is about 5313.9815581163. The cubic root of 28238400 is about 304.5182756549.

The spelling of 28238400 in words is "twenty-eight million, two hundred thirty-eight thousand, four hundred".