28193600 has 84 divisors (see below), whose sum is σ = 70677024. Its totient is φ = 11066880.

The previous prime is 28193591. The next prime is 28193611. The reversal of 28193600 is 639182.

28193600 = 270² + 271² + ... + 470².

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 11 ways as a sum of consecutive naturals, for example, 107069 + ... + 107331.

Almost surely, 2^28193600 is an apocalyptic number.

28193600 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 28193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35338512).

28193600 is an abundant number, since it is smaller than the sum of its proper divisors (42483424).

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

28193600 is a wasteful number, since it uses less digits than its factorization.

28193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 28193600 is about 5309.7645898853. The cubic root of 28193600 is about 304.3571517994.

The spelling of 28193600 in words is "twenty-eight million, one hundred ninety-three thousand, six hundred".