28607600 has 120 divisors (see below), whose sum is σ = 83307168. Its totient is φ = 9216000.

The previous prime is 28607581. The next prime is 28607603. The reversal of 28607600 is 670682.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28607603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47300 + ... + 47900.

Almost surely, 2^28607600 is an apocalyptic number.

28607600 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 28607600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41653584).

28607600 is an abundant number, since it is smaller than the sum of its proper divisors (54699568).

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

28607600 is a wasteful number, since it uses less digits than its factorization.

28607600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 28607600 is about 5348.6072953620. The cubic root of 28607600 is about 305.8396642480.

The spelling of 28607600 in words is "twenty-eight million, six hundred seven thousand, six hundred".