28604800 has 96 divisors (see below), whose sum is σ = 80820720. Its totient is φ = 9799680.

The previous prime is 28604783. The next prime is 28604809. The reversal of 28604800 is 840682.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28604809) 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 11 ways as a sum of consecutive naturals, for example, 21762 + ... + 23038.

Almost surely, 2^28604800 is an apocalyptic number.

28604800 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 28604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40410360).

28604800 is an abundant number, since it is smaller than the sum of its proper divisors (52215920).

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

28604800 is a wasteful number, since it uses less digits than its factorization.

28604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 28604800 is about 5348.3455385755. The cubic root of 28604800 is about 305.8296857924.

The spelling of 28604800 in words is "twenty-eight million, six hundred four thousand, eight hundred".