28657200 has 240 divisors, whose sum is σ = 108493056. Its totient is φ = 6374400.

The previous prime is 28657163. The next prime is 28657201. The reversal of 28657200 is 275682.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×28657200² = 1642470223680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (28657201) 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 47 ways as a sum of consecutive naturals, for example, 171517 + ... + 171683.

Almost surely, 2^28657200 is an apocalyptic number.

28657200 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 28657200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54246528).

28657200 is an abundant number, since it is smaller than the sum of its proper divisors (79835856).

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

28657200 is a wasteful number, since it uses less digits than its factorization.

28657200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 28657200 is about 5353.2420083534. The cubic root of 28657200 is about 306.0163176398.

The spelling of 28657200 in words is "twenty-eight million, six hundred fifty-seven thousand, two hundred".