28052400 has 120 divisors (see below), whose sum is σ = 91164304. Its totient is φ = 7372800.

The previous prime is 28052393. The next prime is 28052407. The reversal of 28052400 is 425082.

It is an interprime number because it is at equal distance from previous prime (28052393) and next prime (28052407).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (28052407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 116280 + ... + 116520.

Almost surely, 2^28052400 is an apocalyptic number.

28052400 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 28052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45582152).

28052400 is an abundant number, since it is smaller than the sum of its proper divisors (63111904).

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

28052400 is a wasteful number, since it uses less digits than its factorization.

28052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 28052400 is about 5296.4516423734. The cubic root of 28052400 is about 303.8482044570.

Adding to 28052400 its reverse (425082), we get a palindrome (28477482).

The spelling of 28052400 in words is "twenty-eight million, fifty-two thousand, four hundred".