28695600 has 120 divisors (see below), whose sum is σ = 102173520. Its totient is φ = 7649280.

The previous prime is 28695551. The next prime is 28695617. The reversal of 28695600 is 659682.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9472 + ... + 12128.

It is an arithmetic number, because the mean of its divisors is an integer number (851446).

Almost surely, 2^28695600 is an apocalyptic number.

28695600 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 28695600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51086760).

28695600 is an abundant number, since it is smaller than the sum of its proper divisors (73477920).

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

28695600 is a wasteful number, since it uses less digits than its factorization.

28695600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 28695600 is about 5356.8274192847. The cubic root of 28695600 is about 306.1529416156.

The spelling of 28695600 in words is "twenty-eight million, six hundred ninety-five thousand, six hundred".