28893600 has 108 divisors (see below), whose sum is σ = 101911446. Its totient is φ = 7703040.

The previous prime is 28893587. The next prime is 28893607. The reversal of 28893600 is 639882.

It can be written as a sum of positive squares in 3 ways, for example, as 25522704 + 3370896 = 5052^2 + 1836^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28893607) 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 17 ways as a sum of consecutive naturals, for example, 5194 + ... + 9206.

Almost surely, 2^28893600 is an apocalyptic number.

28893600 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 28893600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50955723).

28893600 is an abundant number, since it is smaller than the sum of its proper divisors (73017846).

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

28893600 is a wasteful number, since it uses less digits than its factorization.

28893600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28893600 is about 5375.2767370620. The cubic root of 28893600 is about 306.8554812865.

The spelling of 28893600 in words is "twenty-eight million, eight hundred ninety-three thousand, six hundred".