28500400 has 60 divisors (see below), whose sum is σ = 70106872. Its totient is φ = 11128320.

The previous prime is 28500389. The next prime is 28500401. The reversal of 28500400 is 400582.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (28500401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16372 + ... + 18028.

Almost surely, 2^28500400 is an apocalyptic number.

28500400 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 28500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35053436).

28500400 is an abundant number, since it is smaller than the sum of its proper divisors (41606472).

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

28500400 is a wasteful number, since it uses less digits than its factorization.

28500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 28500400 is about 5338.5765893167. The cubic root of 28500400 is about 305.4571662405.

Adding to 28500400 its reverse (400582), we get a palindrome (28900982).

It can be divided in two parts, 28500 and 400, that added together give a square (28900 = 170²).

The spelling of 28500400 in words is "twenty-eight million, five hundred thousand, four hundred".