28569600 has 234 divisors, whose sum is σ = 105631136. Its totient is φ = 7372800.

The previous prime is 28569599. The next prime is 28569601. The reversal of 28569600 is 696582.

It is an interprime number because it is at equal distance from previous prime (28569599) and next prime (28569601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28569601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 921585 + ... + 921615.

Almost surely, 2^28569600 is an apocalyptic number.

28569600 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 28569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52815568).

28569600 is an abundant number, since it is smaller than the sum of its proper divisors (77061536).

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

28569600 is a wasteful number, since it uses less digits than its factorization.

28569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

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

The square root of 28569600 is about 5345.0537883168. The cubic root of 28569600 is about 305.7041867653.

The spelling of 28569600 in words is "twenty-eight million, five hundred sixty-nine thousand, six hundred".