28800144 has 80 divisors (see below), whose sum is σ = 83377600. Its totient is φ = 9517824.

The previous prime is 28800137. The next prime is 28800199. The reversal of 28800144 is 44100882.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70212 + ... + 70620.

It is an arithmetic number, because the mean of its divisors is an integer number (1042220).

Almost surely, 2^28800144 is an apocalyptic number.

28800144 is a gapful number since it is divisible by the number (24) 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 28800144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41688800).

28800144 is an abundant number, since it is smaller than the sum of its proper divisors (54577456).

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

28800144 is a wasteful number, since it uses less digits than its factorization.

28800144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 28800144 is about 5366.5765623906. The cubic root of 28800144 is about 306.5242838295.

The spelling of 28800144 in words is "twenty-eight million, eight hundred thousand, one hundred forty-four".