28749600 has 288 divisors, whose sum is σ = 114367680. Its totient is φ = 6969600.

The previous prime is 28749599. The next prime is 28749607. The reversal of 28749600 is 694782.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

28749600 is a `hidden beast` number, since 2 + 8 + 7 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (28749607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2613595 + ... + 2613605.

It is an arithmetic number, because the mean of its divisors is an integer number (397110).

Almost surely, 2^28749600 is an apocalyptic number.

28749600 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 28749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57183840).

28749600 is an abundant number, since it is smaller than the sum of its proper divisors (85618080).

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

28749600 is a wasteful number, since it uses less digits than its factorization.

28749600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 28749600 is about 5361.8653470597. The cubic root of 28749600 is about 306.3448630184.

The spelling of 28749600 in words is "twenty-eight million, seven hundred forty-nine thousand, six hundred".