28219200 has 84 divisors (see below), whose sum is σ = 92598240. Its totient is φ = 7523840.

The previous prime is 28219189. The next prime is 28219211. The reversal of 28219200 is 291282.

It is an interprime number because it is at equal distance from previous prime (28219189) and next prime (28219211).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1861 + ... + 7739.

It is an arithmetic number, because the mean of its divisors is an integer number (1102360).

Almost surely, 2^28219200 is an apocalyptic number.

28219200 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 28219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46299120).

28219200 is an abundant number, since it is smaller than the sum of its proper divisors (64379040).

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

28219200 is a wasteful number, since it uses less digits than its factorization.

28219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 28219200 is about 5312.1746959226. The cubic root of 28219200 is about 304.4492434563.

It can be divided in two parts, 2821 and 9200, that added together give a palindrome (12021).

The spelling of 28219200 in words is "twenty-eight million, two hundred nineteen thousand, two hundred".