28948800 has 168 divisors, whose sum is σ = 98141536. Its totient is φ = 7464960.

The previous prime is 28948793. The next prime is 28948811. The reversal of 28948800 is 884982.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177519 + ... + 177681.

Almost surely, 2^28948800 is an apocalyptic number.

28948800 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 28948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49070768).

28948800 is an abundant number, since it is smaller than the sum of its proper divisors (69192736).

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

28948800 is a wasteful number, since it uses less digits than its factorization.

28948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 28948800 is about 5380.4089063936. The cubic root of 28948800 is about 307.0507684469.

The spelling of 28948800 in words is "twenty-eight million, nine hundred forty-eight thousand, eight hundred".