28460800 has 54 divisors (see below), whose sum is σ = 70460768. Its totient is φ = 11381760.

The previous prime is 28460779. The next prime is 28460801. The reversal of 28460800 is 806482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28460801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4177 + ... + 8623.

Almost surely, 2^28460800 is an apocalyptic number.

28460800 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 28460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35230384).

28460800 is an abundant number, since it is smaller than the sum of its proper divisors (41999968).

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

28460800 is an equidigital number, since it uses as much as digits as its factorization.

28460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4454 counting only the distinct ones).

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

The square root of 28460800 is about 5334.8664463133. The cubic root of 28460800 is about 305.3156277540.

The spelling of 28460800 in words is "twenty-eight million, four hundred sixty thousand, eight hundred".