28142400 has 336 divisors, whose sum is σ = 111117888. Its totient is φ = 6144000.

The previous prime is 28142399. The next prime is 28142419. The reversal of 28142400 is 424182.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686380 + ... + 686420.

It is an arithmetic number, because the mean of its divisors is an integer number (330708).

Almost surely, 2^28142400 is an apocalyptic number.

28142400 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 28142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55558944).

28142400 is an abundant number, since it is smaller than the sum of its proper divisors (82975488).

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

28142400 is a wasteful number, since it uses less digits than its factorization.

28142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 28142400 is about 5304.9410929811. The cubic root of 28142400 is about 304.1728011106.

Adding to 28142400 its reverse (424182), we get a palindrome (28566582).

The spelling of 28142400 in words is "twenty-eight million, one hundred forty-two thousand, four hundred".