28919800 has 144 divisors (see below), whose sum is σ = 84603960. Its totient is φ = 9112320.

The previous prime is 28919747. The next prime is 28919819. The reversal of 28919800 is 891982.

28919800 = T₁₀₅ + T₁₀₆ + ... + T₅₅₈.

It is a self number, because there is not a number n which added to its sum of digits gives 28919800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127287 + ... + 127513.

Almost surely, 2^28919800 is an apocalyptic number.

28919800 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 28919800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42301980).

28919800 is an abundant number, since it is smaller than the sum of its proper divisors (55684160).

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

28919800 is a wasteful number, since it uses less digits than its factorization.

28919800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 28919800 is about 5377.7132686673. The cubic root of 28919800 is about 306.9482029134.

The spelling of 28919800 in words is "twenty-eight million, nine hundred nineteen thousand, eight hundred".