28408800 has 288 divisors, whose sum is σ = 112492800. Its totient is φ = 6082560.

The previous prime is 28408729. The next prime is 28408801. The reversal of 28408800 is 880482.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28408801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319156 + ... + 319244.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 2^28408800 is an apocalyptic number.

28408800 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 28408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

28408800 is an abundant number, since it is smaller than the sum of its proper divisors (84084000).

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

28408800 is a wasteful number, since it uses less digits than its factorization.

28408800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 28408800 is about 5329.9906191287. The cubic root of 28408800 is about 305.1295696015.

The spelling of 28408800 in words is "twenty-eight million, four hundred eight thousand, eight hundred".