28532400 has 240 divisors, whose sum is σ = 103326720. Its totient is φ = 6681600.

The previous prime is 28532389. The next prime is 28532401. The reversal of 28532400 is 423582.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (28532401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483571 + ... + 483629.

It is an arithmetic number, because the mean of its divisors is an integer number (430528).

Almost surely, 2^28532400 is an apocalyptic number.

28532400 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 28532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51663360).

28532400 is an abundant number, since it is smaller than the sum of its proper divisors (74794320).

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

28532400 is a wasteful number, since it uses less digits than its factorization.

28532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 28532400 is about 5341.5728020874. The cubic root of 28532400 is about 305.5714450262.

Adding to 28532400 its reverse (423582), we get a palindrome (28955982).

It can be divided in two parts, 2853 and 2400, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 28532400 in words is "twenty-eight million, five hundred thirty-two thousand, four hundred".