28590400 has 84 divisors (see below), whose sum is σ = 71432928. Its totient is φ = 11261440.

The previous prime is 28590391. The next prime is 28590437. The reversal of 28590400 is 409582.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171117 + ... + 171283.

It is an arithmetic number, because the mean of its divisors is an integer number (850392).

Almost surely, 2^28590400 is an apocalyptic number.

28590400 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 28590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35716464).

28590400 is an abundant number, since it is smaller than the sum of its proper divisors (42842528).

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

28590400 is a wasteful number, since it uses less digits than its factorization.

28590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 28590400 is about 5346.9991584065. Note that the first 3 decimals coincide. The cubic root of 28590400 is about 305.7783577323.

Adding to 28590400 its reverse (409582), we get a palindrome (28999982).

The spelling of 28590400 in words is "twenty-eight million, five hundred ninety thousand, four hundred".