28798800 has 120 divisors (see below), whose sum is σ = 93547584. Its totient is φ = 7572480.

The previous prime is 28798793. The next prime is 28798801. The reversal of 28798800 is 889782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28798801) 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, 123484 + ... + 123716.

Almost surely, 2^28798800 is an apocalyptic number.

28798800 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 28798800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46773792).

28798800 is an abundant number, since it is smaller than the sum of its proper divisors (64748784).

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

28798800 is a wasteful number, since it uses less digits than its factorization.

28798800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 28798800 is about 5366.4513414360. The cubic root of 28798800 is about 306.5195156237.

The spelling of 28798800 in words is "twenty-eight million, seven hundred ninety-eight thousand, eight hundred".