28134800 has 60 divisors (see below), whose sum is σ = 69457236. Its totient is φ = 10944000.

The previous prime is 28134793. The next prime is 28134803. The reversal of 28134800 is 843182.

It can be written as a sum of positive squares in 6 ways, for example, as 719104 + 27415696 = 848^2 + 5236^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28134800.

It is not an unprimeable number, because it can be changed into a prime (28134803) 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, 13850 + ... + 15750.

Almost surely, 2^28134800 is an apocalyptic number.

28134800 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 28134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34728618).

28134800 is an abundant number, since it is smaller than the sum of its proper divisors (41322436).

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

28134800 is a wasteful number, since it uses less digits than its factorization.

28134800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 28134800 is about 5304.2247312873. The cubic root of 28134800 is about 304.1454175018.

Adding to 28134800 its reverse (843182), we get a palindrome (28977982).

The spelling of 28134800 in words is "twenty-eight million, one hundred thirty-four thousand, eight hundred".