28429200 has 180 divisors, whose sum is σ = 101193300. Its totient is φ = 7388160.

The previous prime is 28429171. The next prime is 28429207. The reversal of 28429200 is 292482.

It can be written as a sum of positive squares in 6 ways, for example, as 1679616 + 26749584 = 1296^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (28429207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190726 + ... + 190874.

It is an arithmetic number, because the mean of its divisors is an integer number (562185).

Almost surely, 2^28429200 is an apocalyptic number.

28429200 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 28429200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50596650).

28429200 is an abundant number, since it is smaller than the sum of its proper divisors (72764100).

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

28429200 is a wasteful number, since it uses less digits than its factorization.

28429200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28429200 is about 5331.9039751293. The cubic root of 28429200 is about 305.2025886880.

The spelling of 28429200 in words is "twenty-eight million, four hundred twenty-nine thousand, two hundred".