28526400 has 252 divisors, whose sum is σ = 116283232. Its totient is φ = 6497280.

The previous prime is 28526363. The next prime is 28526411. The reversal of 28526400 is 462582.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

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, 100659 + ... + 100941.

Almost surely, 2^28526400 is an apocalyptic number.

28526400 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 28526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58141616).

28526400 is an abundant number, since it is smaller than the sum of its proper divisors (87756832).

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

28526400 is a wasteful number, since it uses less digits than its factorization.

28526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28526400 is about 5341.0111402243. The cubic root of 28526400 is about 305.5500242647.

Adding to 28526400 its reverse (462582), we get a palindrome (28988982).

The spelling of 28526400 in words is "twenty-eight million, five hundred twenty-six thousand, four hundred".